# Is 128 the only multi-digit power of 2 such that each of its digits is also a power of 2?

The number $128$ can be written as $2^n$ with integer $n$, and so can its every individual digit. Is this the only number with this property, apart from the one-digit numbers $1$, $2$, $4$ and $8$?

I have checked a lot, but I don’t know how to prove or disprove it.