Sorry but I don't know how to deal big number.
Here's another CODY problem that deals with something similar:
So many choices
Project Euler: Problem 1, Multiples of 3 and 5
Angle between Two Vectors
Count up then down
Unique dice configurations
Pseudo Square Root (Inspired by Project Euler 266)
Rewrite setdiff to account for non-unique values
Crunch that matrix!
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