# Pyramids of Egypt

Let $$d(k)$$ denote the number of positive divisors of an integer $$k$$, including 1 and itself, and let $$n$$ be a positive integer. In terms of $$n$$, how many ordered pairs of integers $$(x,y)$$ are there such that $$\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{n}$$?

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