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MATH / Given that n>1, what is the smallest positive integer n whose positive divisors have a product of n⁶?

Problem

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problem

Given that n>1n > 1, what is the smallest positive integer nn whose positive divisors have a product of n6n^6?
Plain-text mathematical notation (without MathML)
Given that n>1, what is the smallest positive integer n whose positive divisors have a product of n⁶?
Original LaTeX notation
Given that $n > 1$, what is the smallest positive integer $n$ whose positive divisors have a product of $n^6$?

level

Level 5

type

Number Theory

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Source and history

Official source

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