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Find the highest power of 2 dividing \(1^1 2^2 3^3 4^4 \dotsm 15^{15}\)

 Jun 2, 2020
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8.08964493720696635283542546544828676197520735416089908518751853288169656424180656111616e+116 = 2^88 * 3^54 * 5^30 * 7^21 * 11^11 * 13^13

 

2^88 is the largest power of 2 that will divide the expression evenly.

 Jun 2, 2020
edited by Guest  Jun 2, 2020

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