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Problem 6. Determine all positive integers $n \ge 2$ with the following property: for every positve divisor $d$ of $n$, the product of all the other positive divisors of $n$ is a perfect power.
A perfect power is a number of the form $a^b$ for some integers $a \ge 1$ and $b \ge 2$.
Solution 1Solution 2Solution 3Solution 4
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