Divisor 4096

To determine if any number is divisible by 4096, apply this test:

1. Ignore everything except the 12 right-most digits. Every larger digit than these is irrelevant because 10¹² is divisible by 4096.
2. The number should now be small enough to be able to deduce divisibility by 4096 with basic application of your 4096-times tables!

Easy!