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12482513568 = 2532717312379
BaseRepresentation
bin10111010000000010…
…00000101010100000
31012012221001101112100
423220001000222200
5201031010413233
65422343330400
7621220420560
oct135001005240
935187041470
1012482513568
115326065218
122504450a00
13123c106605
14865b40da0
154d0cd2813
hex2e8040aa0

12482513568 has 432 divisors, whose sum is σ = 44501970240. Its totient is φ = 3239792640.

The previous prime is 12482513521. The next prime is 12482513611. The reversal of 12482513568 is 86531528421.

12482513568 is a `hidden beast` number, since 1 + 2 + 4 + 82 + 5 + 1 + 3 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32935203 + ... + 32935581.

It is an arithmetic number, because the mean of its divisors is an integer number (103013820).

Almost surely, 212482513568 is an apocalyptic number.

12482513568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12482513568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22250985120).

12482513568 is an abundant number, since it is smaller than the sum of its proper divisors (32019456672).

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

12482513568 is a wasteful number, since it uses less digits than its factorization.

12482513568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 439 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 12482513568 in words is "twelve billion, four hundred eighty-two million, five hundred thirteen thousand, five hundred sixty-eight".