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The number of factors of 10(4511−1){ 10 }^{ ({ 45 }^{ 11 }-1 )}10(4511−1) is some number x. If
x≡a(mod6)x \equiv a \pmod {6} x≡a(mod6),
then find the value of "a".
Details and assumptions:
-1 < a < 6 , for "a" an integer.
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