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12642563360 = 255711288003
BaseRepresentation
bin10111100011000111…
…00011010100100000
31012122002012202120102
423301203203110200
5201342444011420
65450302001532
7625203005210
oct136143432440
935562182512
1012642563360
1153a8440a79
122549b762a8
13126631392b
1487d0c4240
154ded99a75
hex2f18e3520

12642563360 has 48 divisors (see below), whose sum is σ = 34134924096. Its totient is φ = 4334592768.

The previous prime is 12642563359. The next prime is 12642563419. The reversal of 12642563360 is 6336524621.

It is a happy number.

It is a super-2 number, since 2×126425633602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5642882 + ... + 5645121.

It is an arithmetic number, because the mean of its divisors is an integer number (711144252).

Almost surely, 212642563360 is an apocalyptic number.

12642563360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12642563360 is an abundant number, since it is smaller than the sum of its proper divisors (21492360736).

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

12642563360 is a wasteful number, since it uses less digits than its factorization.

12642563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288025 (or 11288017 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 12642563360 in words is "twelve billion, six hundred forty-two million, five hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11288003 22576006 45152012 56440015 79016021 90304024 112880030 158032042 180608048 225760060 316064084 361216096 395080105 451520120 632128168 790160210 903040240 1264256336 1580320420 1806080480 2528512672 3160640840 6321281680 12642563360