The harmonic mean of two positive numbers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers (x, y) with x<y is the harmonic mean of x and y equal to 6^{20} ?
The harmonic mean of two positive numbers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers (x, y) with x<y is the harmonic mean of x and y equal to 6^{20} ?