title: 1/x + 1/y = 1/N(factorial)
body: <p>The question is, how to solve 1/x + 1/y = 1/N! (N factorial). Find the number of values that satisfy x and y for large values of N.</p>
  
  <p>I've solved the problem for relatively small values of N (any N! that'll fit into a long). So, I know I solve the problem by getting all the divisors of (N!)^2. But that starts failing when (N!)^2 fails to fit into a long. I also know I can find all the divisors of N! by adding up all the prime factors of each number factored in N!. What I am missing is how I can use all the numbers in the factorial to find the x and y values.</p>
  
  <p>EDIT: Not looking for the "answer" just a hint or two.</p>