The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
101010010101000101A10001B001010C100011_2.
Compute $A,$ $B,$ and $C$.
The answer is \(A, B, C = (1, 1, 1)\)
We get the monstrosity \(10101001010100010111000110010101100011_2\), which when converted to base 10, we get
\(181803967843_{10}\)
This divided by 70 (it would go to scientific notaiton if not) gets us \(229488030591\),
meaning it is divisible by 7.
Thanks! :)