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12803606112 = 2531131391117
BaseRepresentation
bin10111110110010011…
…11000011001100000
31020001022020120200210
423323021320121200
5202210210343422
65514253414120
7632166566463
oct137311703140
936038216623
1012803606112
115480335860
122593a9a340
1312907aabbb
148966452da
154ee0ab10c
hex2fb278660

12803606112 has 96 divisors (see below), whose sum is σ = 37847706624. Its totient is φ = 3754713600.

The previous prime is 12803606093. The next prime is 12803606129. The reversal of 12803606112 is 21160630821.

12803606112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12803606112.

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 15 ways as a sum of consecutive naturals, for example, 162823 + ... + 228294.

It is an arithmetic number, because the mean of its divisors is an integer number (394246944).

Almost surely, 212803606112 is an apocalyptic number.

12803606112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12803606112 is an abundant number, since it is smaller than the sum of its proper divisors (25044100512).

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

12803606112 is a wasteful number, since it uses less digits than its factorization.

12803606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391172 (or 391164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12803606112 in words is "twelve billion, eight hundred three million, six hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 391117 782234 1173351 1564468 2346702 3128936 4302287 4693404 6257872 8604574 9386808 12124627 12515744 12906861 17209148 18773616 24249254 25813722 34418296 36373881 37547232 48498508 51627444 68836592 72747762 96997016 103254888 133370897 137673184 145495524 193994032 206509776 266741794 290991048 387988064 400112691 413019552 533483588 581982096 800225382 1066967176 1163964192 1600450764 2133934352 3200901528 4267868704 6401803056 12803606112