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12632276102004 = 22331331290237021
BaseRepresentation
bin1011011111010010111001…
…0101000110101101110100
31122201122010001010000122000
42313310232111012231310
53123431400140231004
642511104301135300
72442436402135206
oct267645625065564
948648101100560
1012632276102004
11403035559a569
12150027785a530
137082ac13a8b0
143195966b8776
1516d8db617c39
hexb7d2e546b74

12632276102004 has 96 divisors (see below), whose sum is σ = 36407332039680. Its totient is φ = 3761471779200.

The previous prime is 12632276101999. The next prime is 12632276102041. The reversal of 12632276102004 is 40020167223621.

12632276102004 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 2 + 7 + 610 + 2 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×126322761020042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12632276102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145074987 + ... + 145162034.

It is an arithmetic number, because the mean of its divisors is an integer number (379243042080).

Almost surely, 212632276102004 is an apocalyptic number.

It is an amenable number.

12632276102004 is an abundant number, since it is smaller than the sum of its proper divisors (23775055937676).

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

12632276102004 is a wasteful number, since it uses less digits than its factorization.

12632276102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290237078 (or 290237070 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12632276102004 in words is "twelve trillion, six hundred thirty-two billion, two hundred seventy-six million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 21762 43524 290237021 580474042 870711063 1160948084 1741422126 2612133189 3482844252 3773081273 5224266378 7546162546 7836399567 8997347651 10448532756 11319243819 15092325092 15672799134 17994695302 22638487638 26992042953 31345598268 33957731457 35989390604 45276975276 53984085906 67915462914 80976128859 101873194371 107968171812 116965519463 135830925828 161952257718 203746388742 233931038926 242928386577 323904515436 350896558389 407492777484 467862077852 485856773154 701793116778 971713546308 1052689675167 1403586233556 2105379350334 3158069025501 4210758700668 6316138051002 12632276102004