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The value b^n has both b and b as positive integers less than or equal to 15. What is the greatest number of positive factors b^n can have?

 May 7, 2018
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12^15 =15,407,021,574,586,368

15,407,021,574,586,368 = 2^30 * 3^15 [45 factors - 2 distinct]

 May 7, 2018

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