\[ \sum_{n=1}^\infty \dfrac{d(n) }{n^2} \]

Let \(d(n)\) denote the number of positive divisors of integer \(n\) inclusive of 1 and itself.

If the series above is equal to \( \dfrac {a \pi^b}c \), where \(a,b,c\) are positive integers with \(a,c\) coprime, find the value of \(a+b+c\).

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