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12799869576 = 23313313131071
BaseRepresentation
bin10111110101110111…
…01000001010001000
31020001001012202010120
423322323220022020
5202203231311301
65514041343240
7632123045004
oct137273501210
936031182116
1012799869576
11547921350a
122592797b20
13128caa0230
14895d51704
154edabde36
hex2faee8288

12799869576 has 64 divisors (see below), whose sum is σ = 34571550720. Its totient is φ = 3925808640.

The previous prime is 12799869487. The next prime is 12799869611. The reversal of 12799869576 is 67596899721.

12799869576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127998695762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12799869576.

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 15 ways as a sum of consecutive naturals, for example, 32121 + ... + 163191.

It is an arithmetic number, because the mean of its divisors is an integer number (540180480).

Almost surely, 212799869576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12799869576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285775360).

12799869576 is an abundant number, since it is smaller than the sum of its proper divisors (21771681144).

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

12799869576 is a wasteful number, since it uses less digits than its factorization.

12799869576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131406 (or 131402 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 69.

The spelling of 12799869576 in words is "twelve billion, seven hundred ninety-nine million, eight hundred sixty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 313 626 939 1252 1878 2504 3756 4069 7512 8138 12207 16276 24414 32552 48828 97656 131071 262142 393213 524284 786426 1048568 1572852 1703923 3145704 3407846 5111769 6815692 10223538 13631384 20447076 40894152 41025223 82050446 123075669 164100892 246151338 328201784 492302676 533327899 984605352 1066655798 1599983697 2133311596 3199967394 4266623192 6399934788 12799869576