# Rudimental Tetration

**Number Theory**Level 4

If the above number is in the form of \(x^x\) for some positve integer \(x\), how many positive factors does \(x\) have (inclusive of \(1\) and itself)?

**Details and Assumptions**

No computational aids is required in solving this problem.

You may use the fact that \(2011\) is prime.