MathDB
2020 Team 9

Source:

February 2, 2020
team2020

Problem Statement

Over all natural numbers nn with 16 (not necessarily distinct) prime divisors, one of them maximizes the value of s(n)/ns(n)/n, where s(n)s(n) denotes the sum of the divisors of nn. What is the value of d(d(n))d(d(n)), where d(n)d(n) is the the number of divisors of nn?
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