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Quran arabic text from Tanzil.info licensed under the Creative Commons BY-ND 3.0 Unported license.

Request: Sura 33 Aya 50 to 50

يَا أَيُّهَا النَّبِيُّ إِنَّا أَحْلَلْنَا لَكَ أَزْوَاجَكَ اللَّاتِي آتَيْتَ أُجُورَهُنَّ وَمَا مَلَكَتْ يَمِينُكَ مِمَّا أَفَاءَ اللَّهُ عَلَيْكَ وَبَنَاتِ عَمِّكَ وَبَنَاتِ عَمَّاتِكَ وَبَنَاتِ خَالِكَ وَبَنَاتِ خَالَاتِكَ اللَّاتِي هَاجَرْنَ مَعَكَ وَامْرَأَةً مُؤْمِنَةً إِنْ وَهَبَتْ نَفْسَهَا لِلنَّبِيِّ إِنْ أَرَادَ النَّبِيُّ أَنْ يَسْتَنْكِحَهَا خَالِصَةً لَكَ مِنْ دُونِ الْمُؤْمِنِينَ ۗ قَدْ عَلِمْنَا مَا فَرَضْنَا عَلَيْهِمْ فِي أَزْوَاجِهِمْ وَمَا مَلَكَتْ أَيْمَانُهُمْ لِكَيْلَا يَكُونَ عَلَيْكَ حَرَجٌ ۗ وَكَانَ اللَّهُ غَفُورًا رَحِيمًا {50}
[Shakir 33:50] O Prophet! surely We have made lawful to you your wives whom you have given their dowries, and those whom your right hand possesses out of those whom Allah has given to you as prisoners of war, and the daughters of your paternal uncles and the daughters of your paternal aunts, and the daughters of your maternal uncles and the daughters of your maternal aunts who fled with you; and a believing woman if she gave herself to the Prophet, if the Prophet desired to marry her-- specially for you, not for the (rest of) believers; We know what We have ordained for them concerning their wives and those whom their right hands possess in order that no blame may attach to you; and Allah is Forgiving, Merciful.
[Pickthal 33:50] O Prophet! Lo! We have made lawful unto thee thy wives unto whom thou hast paid their dowries, and those whom thy right hand possesseth of those whom Allah hath given thee as spoils of war, and the daughters of thine uncle on the father's side and the daughters of thine aunts on the father's side, and the daughters of thine uncle on the mother's side and the daughters of thine aunts on the mother's side who emigrated with thee, and a believing woman if she give herself unto the Prophet and the Prophet desire to ask her in marriage - a privilege for thee only, not for the (rest of) believers - We are Aware of that which We enjoined upon them concerning their wives and those whom their right hands possess - that thou mayst be free from blame, for Allah is ever Forgiving, Merciful.
[Yusufali 33:50] O Prophet! We have made lawful to thee thy wives to whom thou hast paid their dowers; and those whom thy right hand possesses out of the prisoners of war whom Allah has assigned to thee; and daughters of thy paternal uncles and aunts, and daughters of thy maternal uncles and aunts, who migrated (from Makka) with thee; and any believing woman who dedicates her soul to the Prophet if the Prophet wishes to wed her;- this only for thee, and not for the Believers (at large); We know what We have appointed for them as to their wives and the captives whom their right hands possess;- in order that there should be no difficulty for thee. And Allah is Oft-Forgiving, Most Merciful.
[Pooya/Ali Commentary 33:50]

As explained in the commentary of verses 28 to 32 of this surah the Holy Prophet as a young man married Khadijah Kubra, a woman older than him, and she remained his only wife till her death. She gave birth to Fatimah Zahra through whom he was blessed with his progeny (see commentary of surah al Kawthar). It clearly indicates that he was not at all a sensuous male. The reason for his marriages, after the death of Khadijah Kubra has also been stated in the commentary of abovesaid verses.

Amir Ali in Spirit of Islam says (on the authority of many Muslim historians like Tabari etcetera) that after the death of Khadijah Kubra with a view to cement his friendship Abu Bakr made an offer of his daughter A-isha to the Holy Prophet. At his persuasive solicitations the Holy Prophet consented. This was an act of Abu Bakr's characteristic foresight. With the example of Abu Bakr before him, Umar, also desirous of having a like influence in the close circle of the Holy Prophet, gave his daughter to him. Hafsa was a widow. Umar first offered her to Abu Bakr and then to Uthman but the offer was rejected by both, Umar mentioned this to the Holy Prophet, as a complaint, who, out of compassion, accepted her as his wife.

Similarly, he married other women mentioned in the commentary of verses 28 to 32, either out of compassion, or on account of clemency, or to help his mission. All the books of history are clear on this point.

For polygamy see commentary of Nisa: 3.