# Every Question has an Answer

**Number Theory**Level 3

If the number \(9967^{9967^{9968}} \) can be represented in the form of \(x^{x}\) for some positive integer \(x\), how many positive factors does \(x\) have (inclusive of 1 and itself)?

**Details and Assumptions**:

- You may use the fact that 9967 is a prime.