# The Zen Way

$\large \frac{1}{x}+\frac{1}{y}=\frac{1}{n}$

Let $$S(n)$$ denote the number of ordered pairs $$(x,y)$$ satisfying the equation above for natural numbers $$x,y,n$$ with $$n>1$$. Find the value of $$S(6)$$.

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