Badulla Badu Numbers-------- Hot!

Samantha was stunned. She realized that the numbers were not just random occurrences, but a message from Badu himself.

Badu numbers are useless for engineering. They won’t encrypt your credit card or land a rocket on Mars. But they are fascinating for what they represent: . Badulla Badu Numbers--------

We need ( N = S^L ), where ( L = \lfloor \log_b N \rfloor + 1 ), and ( S ) is digit sum. Samantha was stunned