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12745630165572 = 223217291674300267
BaseRepresentation
bin1011100101111001001011…
…0000100010101001000100
31200010110200212210002020200
42321132102300202221010
53132311022310244242
643035132304130500
72453561411601513
oct271362260425104
950113625702220
1012745630165572
114074433a50237
12151a231906a30
13715ba54989a5
14320c6b10c67a
15171822de204c
hexb9792c22a44

12745630165572 has 144 divisors (see below), whose sum is σ = 35500948479360. Its totient is φ = 3837626182656.

The previous prime is 12745630165561. The next prime is 12745630165579. The reversal of 12745630165572 is 27556103654721.

It is a happy number.

12745630165572 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 6 + 3 + 0 + 1 + 65 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (12745630165579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813783 + ... + 5114049.

It is an arithmetic number, because the mean of its divisors is an integer number (246534364440).

Almost surely, 212745630165572 is an apocalyptic number.

12745630165572 is a gapful number since it is divisible by the number (12) 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 12745630165572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750474239680).

12745630165572 is an abundant number, since it is smaller than the sum of its proper divisors (22755318313788).

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

12745630165572 is a wasteful number, since it uses less digits than its factorization.

12745630165572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300490 (or 4300485 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 12745630165572 in words is "twelve trillion, seven hundred forty-five billion, six hundred thirty million, one hundred sixty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 167 174 204 261 306 334 348 493 501 522 612 668 986 1002 1044 1479 1503 1972 2004 2839 2958 3006 4437 4843 5678 5916 6012 8517 8874 9686 11356 14529 17034 17748 19372 25551 29058 34068 43587 51102 58116 82331 87174 102204 164662 174348 246993 329324 493986 740979 987972 1481958 2963916 4300267 8600534 12900801 17201068 25801602 38702403 51603204 73104539 77404806 124707743 146209078 154809612 219313617 249415486 292418156 374123229 438627234 498830972 657940851 718144589 748246458 877254468 1122369687 1315881702 1436289178 1496492916 2120031631 2154433767 2244739374 2631763404 2872578356 4240063262 4308867534 4489478748 6360094893 6463301301 8480126524 8617735068 12208458013 12720189786 12926602602 19080284679 20826193081 24416916026 25440379572 25853205204 36625374039 38160569358 41652386162 48833832052 62478579243 73250748078 76321138716 83304772324 109876122117 124957158486 146501496156 187435737729 219752244234 249914316972 354045282377 374871475458 439504488468 708090564754 749742950916 1062135847131 1416181129508 2124271694262 3186407541393 4248543388524 6372815082786 12745630165572