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Omni-MATH / Let n be a positive integer. Given that n^(n) has 861 positive divisors, find n.

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problem

Let nn be a positive integer. Given that nnn^{n} has 861 positive divisors, find nn.
Plain-text mathematical notation (without MathML)
Let n be a positive integer. Given that n^(n) has 861 positive divisors, find n.
Original LaTeX notation
Let $n$ be a positive integer. Given that $n^{n}$ has 861 positive divisors, find $n$.

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