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 101010010101000101110001100101011000112, which when converted to base 10, we get
18180396784310
This divided by 70 (it would go to scientific notaiton if not) gets us 229488030591,
meaning it is divisible by 7.
Thanks! :)