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12841875684 = 22321121721012
BaseRepresentation
bin10111111010110111…
…10111100011100100
31020010222020212200100
423331123313203210
5202300010010214
65522141544100
7633143066541
oct137533674344
936128225610
1012841875684
11549a9a4300
1225a4875030
1312986b9c11
1489b767bc8
1550261a309
hex2fd6f78e4

12841875684 has 243 divisors, whose sum is σ = 38282043163. Its totient is φ = 3626304000.

The previous prime is 12841875649. The next prime is 12841875713. The reversal of 12841875684 is 48657814821.

The square root of 12841875684 is 113322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7647502500 + 5194373184 = 87450^2 + 72072^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12841875684.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127147234 + ... + 127147334.

Almost surely, 212841875684 is an apocalyptic number.

12841875684 is the 113322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12841875684

12841875684 is an abundant number, since it is smaller than the sum of its proper divisors (25440167479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12841875684 is a wasteful number, since it uses less digits than its factorization.

12841875684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 12841875684 in words is "twelve billion, eight hundred forty-one million, eight hundred seventy-five thousand, six hundred eighty-four".