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2020 PUMaC Team 10

Source:

January 1, 2022
number theory

Problem Statement

Let NN be the number of sequences of positive integers greater than 1 1 where the product of all of the terms of the sequence is 126412^{64}. If NN can be expressed as a(2b)a(2^b) ), where aa is an odd positive integer, determine bb.
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