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12757149687870 = 23257224112003227
BaseRepresentation
bin1011100110100100000101…
…1000000010000000111110
31200011120102200210110002200
42321221001120002000332
53133003120310002440
643044315331332330
72454450030120600
oct271510130020076
950146380713080
1012757149687870
1140793054698a5
1215205077510a6
13716cbcc22283
14321640db7170
15171c993a3c30
hexb9a4160203e

12757149687870 has 144 divisors (see below), whose sum is σ = 38743971325488. Its totient is φ = 2903820433920.

The previous prime is 12757149687859. The next prime is 12757149687883. The reversal of 12757149687870 is 7878694175721.

12757149687870 is a `hidden beast` number, since 1 + 2 + 7 + 57 + 1 + 496 + 8 + 7 + 87 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4938804 + ... + 7064423.

It is an arithmetic number, because the mean of its divisors is an integer number (269055356427).

Almost surely, 212757149687870 is an apocalyptic number.

12757149687870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12757149687870 is an abundant number, since it is smaller than the sum of its proper divisors (25986821637618).

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

12757149687870 is a wasteful number, since it uses less digits than its factorization.

12757149687870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003495 (or 12003485 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 12757149687870 in words is "twelve trillion, seven hundred fifty-seven billion, one hundred forty-nine million, six hundred eighty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 241 245 294 315 441 482 490 630 723 735 882 1205 1446 1470 1687 2169 2205 2410 3374 3615 4338 4410 5061 7230 8435 10122 10845 11809 15183 16870 21690 23618 25305 30366 35427 50610 59045 70854 75915 106281 118090 151830 177135 212562 354270 531405 1062810 12003227 24006454 36009681 60016135 72019362 84022589 108029043 120032270 168045178 180048405 216058086 252067767 360096810 420112945 504135534 540145215 588158123 756203301 840225890 1080290430 1176316246 1260338835 1512406602 1764474369 2520677670 2892777707 2940790615 3528948738 3781016505 5293423107 5785555414 5881581230 7562033010 8678333121 8822371845 10586846214 14463888535 17356666242 17644743690 20249443949 26034999363 26467115535 28927777070 40498887898 43391665605 52069998726 52934231070 60748331847 86783331210 101247219745 121496663694 130174996815 141746107643 182244995541 202494439490 260349993630 283492215286 303741659235 364489991082 425238322929 607483318470 708730538215 850476645858 911224977705 1275714968787 1417461076430 1822449955410 2126191614645 2551429937574 4252383229290 6378574843935 12757149687870