Python on Ubuntu 18.04.6 LTS

[אורי]

Thank you, that's interesting. So all such numbers are divisible by 9. I
didn't think about it.

You might be interested in my related question:
https://math.stackexchange.com/questions/4348279/what-is-the-highest-number-of-digits-so-that-this-number-of-digits-in-a-specific

>From checking about the first 50,000 powers of 2, I didn't find c more than
5, who actually appears only twice (c is the number of digits who appear
exactly 10% of the time in the decimal form of a specific power of 2).

אורי
uri at speedy.net


On Tue, Jan 4, 2022 at 6:53 AM Daniel Shahaf <d.s at daniel.shahaf.name> wrote:

> אורי wrote on Tue, 04 Jan 2022 04:07 +00:00:
> > Are there powers of 2 which give exactly 10% of each of the digits 0 to
> 9 (in
> > decimal form)?
>
> No, because then the sum of the digits would be a multiple of nine, so the
> number wouldn't be a power of two.
>
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