What is the sum of all the factors of the number: 181 216 437 286 500 000?

I didn't do it the way you probably want, but I got

858064863097915200

The formula is simple, just a product of sum of powers of the prime factors, which are easy to get by formula since they are just the sums of a geometric series.

1+2+4+8+16+32 = (2^6 - 1)/(2-1) = 63

1 + 3 + 3^2 + ... + 3^8 = (3^9 - 1) / (3-1) = 9841

Use (p^(n+1) - 1)/(p-1) for the other prime powers p^n. You get the idea.

Then you need a calculator that can handle all the digits.

The sum of the factors is the product of

63

9841

19531

400

177156

= 858,064,863,097,915,000 per Excel, but that dropped the last digit

= 858,064,863,097,915,200 per PC's built-in calculator.