I know `rwx` = 7 in absolute permissions or numerical/octal representation of the permissions.

But what number is used to represent permission `rws`? (where the s is the set-uid bit that tells execution to happen with the privileges of the file owner).

For example: `rwxrwsr--`

I have never heard of anything higher that 777 so perhaps is there not a numerical representation for this?

Additionally, is it possible to have the set-uid bit in both user and group (ex. `rwsrwsr--`)? And if so what would be the numerical representation for this?