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Problem
Problem
Total number of divisors of
N
=
2
5
⋅
3
4
⋅
5
10
⋅
7
6
N = 2^5 \cdot 3^4 \cdot 5^{10} \cdot 7^6
N
=
2
5
⋅
3
4
⋅
5
10
⋅
7
6
that are of the form
4
n
+
2
4n+2
4
n
+
2
,
n
≥
1
n \ge 1
n
≥
1
, is equal to
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