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What is the smallest positive integer that has exactly 2000 divisors? Thank you.

 Jul 11, 2021
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2,000==2 , 2 , 2 , 2 , 5 , 5 , 5 , Total primes factors== 7


2^4 * 3^4 * 5^4 * 7 * 11 * 13 * 17 >> 13,783,770,000 >>== 2000 >>=divisors

 Jul 12, 2021

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