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Divisors Question
Divisors Question
Source:
December 22, 2005
symmetry
AMC
AIME
Problem Statement
Let
n
=
2
31
3
19
.
n=2^{31}3^{19}.
n
=
2
31
3
19
.
How many positive integer divisors of
n
2
n^2
n
2
are less than
n
n
n
but do not divide
n
n
n
?
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