HMMT 2007 T1

Evaluate the functions $\phi(n), \sigma(n)$ , and $\tau(n)$ for $n=12, n=2007$ , and $n=2^{2007}$ .

Dataset text NuminaMath olympiads. Quoted with source.

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4, 28, 6, 1332, 2912, 6, 2^{2006}, 2^{2008}-1, 2008

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