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13157237024 = 256783107691
BaseRepresentation
bin11000100000011101…
…11000000100100000
31020221221122220002222
430100032320010200
5203421223041044
610013325130212
7644022445421
oct142016700440
936857586088
1013157237024
115641a0aa08
1226723b9968
131318b35969
148cb5b9648
155201608ee
hex3103b8120

13157237024 has 96 divisors (see below), whose sum is σ = 26894198016. Its totient is φ = 6333338880.

The previous prime is 13157236999. The next prime is 13157237047. The reversal of 13157237024 is 42073275131.

It is a happy number.

It is a Cunningham number, because it is equal to 1147052-1.

It is a super-2 number, since 2×131572370242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19040519 + ... + 19041209.

It is an arithmetic number, because the mean of its divisors is an integer number (280147896).

Almost surely, 213157237024 is an apocalyptic number.

It is an amenable number.

13157237024 is an abundant number, since it is smaller than the sum of its proper divisors (13736960992).

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

13157237024 is a wasteful number, since it uses less digits than its factorization.

13157237024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 13157237024 in words is "thirteen billion, one hundred fifty-seven million, two hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 67 83 107 134 166 214 268 332 428 536 664 691 856 1072 1328 1382 1712 2144 2656 2764 3424 5528 5561 7169 8881 11056 11122 14338 17762 22112 22244 28676 35524 44488 46297 57352 57353 71048 73937 88976 92594 114704 114706 142096 147874 177952 185188 229408 229412 284192 295748 370376 458824 591496 595027 740752 917648 1182992 1190054 1481504 1835296 2365984 2380108 3842651 4760216 4953779 6136771 7685302 9520432 9907558 12273542 15370604 19040864 19815116 24547084 30741208 39630232 49094168 61482416 79260464 98188336 122964832 158520928 196376672 411163657 822327314 1644654628 3289309256 6578618512 13157237024