Just a Mod Problem...

Number Theory Level 3

The number of factors of 10(4511−1){ 10 }^{ ({ 45 }^{ 11 }-1 )} is some number x. If

x≡a(mod6)x \equiv a \pmod {6} ,

then find the value of "a".

Details and assumptions:

-1 < a < 6 , for "a" an integer.

Seth Lovelace by Seth Lovelace
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