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78928100832 = 2537271236323
BaseRepresentation
bin100100110000001111…
…0110011110111100000
321112201122010221202210
41021200132303313200
52243121043211312
6100131543042120
75462624534100
oct1114036636740
9245648127683
1078928100832
11305229453a9
1213368a40340
13759b042859
143b6a673200
1520be338e3c
hex12607b3de0

78928100832 has 144 divisors (see below), whose sum is σ = 244408171392. Its totient is φ = 22233173760.

The previous prime is 78928100831. The next prime is 78928100863. The reversal of 78928100832 is 23800182987.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78928100831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215823 + ... + 452145.

It is an arithmetic number, because the mean of its divisors is an integer number (1697278968).

Almost surely, 278928100832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78928100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204085696).

78928100832 is an abundant number, since it is smaller than the sum of its proper divisors (165480070560).

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

78928100832 is a wasteful number, since it uses less digits than its factorization.

78928100832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236421 (or 236406 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 78928100832 in words is "seventy-eight billion, nine hundred twenty-eight million, one hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 71 84 96 98 112 142 147 168 196 213 224 284 294 336 392 426 497 568 588 672 784 852 994 1136 1176 1491 1568 1704 1988 2272 2352 2982 3408 3479 3976 4704 5964 6816 6958 7952 10437 11928 13916 15904 20874 23856 27832 41748 47712 55664 83496 111328 166992 236323 333984 472646 708969 945292 1417938 1654261 1890584 2835876 3308522 3781168 4962783 5671752 6617044 7562336 9925566 11343504 11579827 13234088 16778933 19851132 22687008 23159654 26468176 33557866 34739481 39702264 46319308 50336799 52936352 67115732 69478962 79404528 92638616 100673598 117452531 134231464 138957924 158809056 185277232 201347196 234905062 268462928 277915848 352357593 370554464 402694392 469810124 536925856 555831696 704715186 805388784 822167717 939620248 1111663392 1409430372 1610777568 1644335434 1879240496 2466503151 2818860744 3288670868 3758480992 4933006302 5637721488 6577341736 9866012604 11275442976 13154683472 19732025208 26309366944 39464050416 78928100832