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1232097381504 = 27341110803323
BaseRepresentation
bin10001111011011110101…
…110100000110010000000
311100210020222121000220000
4101323132232200302000
5130141313412202004
62342003454520000
7155005343641533
oct21733656406200
94323228530800
101232097381504
1143559093a970
1217a956b06000
138c256361b42
14438c333aa1a
15220b2a10c39
hex11edeba0c80

1232097381504 has 160 divisors (see below), whose sum is σ = 4000038744240. Its totient is φ = 373362808320.

The previous prime is 1232097381491. The next prime is 1232097381577. The reversal of 1232097381504 is 4051837902321.

It is a happy number.

1232097381504 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 97 + 38 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1232097381504.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5287614 + ... + 5515709.

Almost surely, 21232097381504 is an apocalyptic number.

It is an amenable number.

1232097381504 is an abundant number, since it is smaller than the sum of its proper divisors (2767941362736).

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

1232097381504 is a wasteful number, since it uses less digits than its factorization.

1232097381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803360 (or 10803339 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1232097381504 in words is "one trillion, two hundred thirty-two billion, ninety-seven million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 114048 10803323 21606646 32409969 43213292 64819938 86426584 97229907 118836553 129639876 172853168 194459814 237673106 259279752 291689721 345706336 356509659 388919628 475346212 518559504 583379442 691412672 713019318 777839256 875069163 950692424 1037119008 1069528977 1166758884 1382825344 1426038636 1555678512 1750138326 1901384848 2074238016 2139057954 2333517768 2852077272 3111357024 3208586931 3500276652 3802769696 4148476032 4278115908 4667035536 5704154544 6222714048 6417173862 7000553304 7605539392 8556231816 9334071072 9625760793 11408309088 12445428096 12834347724 14001106608 15211078784 17112463632 18668142144 19251521586 22816618176 25668695448 28002213216 34224927264 37336284288 38503043172 45633236352 51337390896 56004426432 68449854528 77006086344 102674781792 112008852864 136899709056 154012172688 205349563584 308024345376 410699127168 616048690752 1232097381504