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product of (divisor +1)'s, is divided by product of divisors

Source: St. peterburg 2016 10.1

May 1, 2019
number theoryProductProductsDivisors

Problem Statement

Sasha multiplied all the divisors of the natural number nn. Fedya increased each divider by 11, and then multiplied the results. If the product found Fedya is divided by the product found by Sasha , what can nn be equal to ?
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