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12837010704 = 243739319719
BaseRepresentation
bin10111111010010010…
…10011110100010000
31020010122002201011220
423331021103310100
5202242233320304
65521445405040
7633053535120
oct137511236420
936118081156
1012837010704
115498181161
1225a3109780
1312976a572b
1489ac5cc80
15501ea8ad9
hex2fd253d10

12837010704 has 80 divisors (see below), whose sum is σ = 37913287680. Its totient is φ = 3666407040.

The previous prime is 12837010687. The next prime is 12837010757. The reversal of 12837010704 is 40701073821.

It is a happy number.

12837010704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128370107042 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315957 + ... + 1325675.

It is an arithmetic number, because the mean of its divisors is an integer number (473916096).

Almost surely, 212837010704 is an apocalyptic number.

12837010704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12837010704 is an abundant number, since it is smaller than the sum of its proper divisors (25076276976).

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

12837010704 is a wasteful number, since it uses less digits than its factorization.

12837010704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668 (or 13662 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 12837010704 in words is "twelve billion, eight hundred thirty-seven million, ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3931 7862 9719 11793 15724 19438 23586 27517 29157 31448 38876 47172 55034 58314 62896 68033 77752 82551 94344 110068 116628 136066 155504 165102 188688 204099 220136 233256 272132 330204 408198 440272 466512 544264 660408 816396 1088528 1320816 1632792 3265584 38205389 76410778 114616167 152821556 229232334 267437723 305643112 458464668 534875446 611286224 802313169 916929336 1069750892 1604626338 1833858672 2139501784 3209252676 4279003568 6418505352 12837010704