Let N be the number of sequences of positive integers greater than 1 where the product of all of the terms of the sequence is 12^{64}. If N can be expressed as a\left(2^{b}\right), where a is an odd positive integer, determine b.
Let N be the number of sequences of positive integers greater than 1 where the product of all of the terms of the sequence is 12^{64}. If N can be expressed as a\left(2^{b}\right), where a is an odd positive integer, determine b.