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12492129252 = 2232579403649
BaseRepresentation
bin10111010001001011…
…01100001111100100
31012020121010220202210
423220211230033210
5201040441114002
65423325403420
7621365226621
oct135045541744
935217126683
1012492129252
115330532669
122507709570
1312410c2275
14867125348
154d1a8196c
hex2e896c3e4

12492129252 has 24 divisors (see below), whose sum is σ = 29159676000. Its totient is φ = 4162418176.

The previous prime is 12492129229. The next prime is 12492129263. The reversal of 12492129252 is 25292129421.

12492129252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12492129252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170877 + ... + 232772.

It is an arithmetic number, because the mean of its divisors is an integer number (1214986500).

Almost surely, 212492129252 is an apocalyptic number.

12492129252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12492129252 is an abundant number, since it is smaller than the sum of its proper divisors (16667546748).

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

12492129252 is a wasteful number, since it uses less digits than its factorization.

12492129252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406235 (or 406233 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The spelling of 12492129252 in words is "twelve billion, four hundred ninety-two million, one hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 2579 5158 7737 10316 15474 30948 403649 807298 1210947 1614596 2421894 4843788 1041010771 2082021542 3123032313 4164043084 6246064626 12492129252