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704493923672 = 23711372713001
BaseRepresentation
bin10100100000001110001…
…11000010110101011000
32111100102101121101002102
422100013013002311120
543020300421024142
61255350125422532
7101620005355550
oct12200707026530
92440371541072
10704493923672
112518574aa000
12b465170aa48
13515834c6a86
14261520ac160
15134d3895532
hexa4071c2d58

704493923672 has 128 divisors (see below), whose sum is σ = 1662891310080. Its totient is φ = 274079520000.

The previous prime is 704493923591. The next prime is 704493923677. The reversal of 704493923672 is 276329394407.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704493923677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54181172 + ... + 54194172.

It is an arithmetic number, because the mean of its divisors is an integer number (12991338360).

Almost surely, 2704493923672 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 704493923672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831445655040).

704493923672 is an abundant number, since it is smaller than the sum of its proper divisors (958397386408).

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

704493923672 is a wasteful number, since it uses less digits than its factorization.

704493923672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13774 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 56.

The spelling of 704493923672 in words is "seven hundred four billion, four hundred ninety-three million, nine hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 727 847 968 1331 1454 1694 2662 2908 3388 5089 5324 5816 6776 7997 9317 10178 10648 13001 15994 18634 20356 26002 31988 37268 40712 52004 55979 63976 74536 87967 91007 104008 111958 143011 175934 182014 223916 286022 351868 364028 447832 572044 615769 703736 728056 967637 1001077 1144088 1231538 1573121 1935274 2002154 2463076 3146242 3870548 4004308 4926152 6292484 6773459 7741096 8008616 9451727 11011847 12584968 13546918 17304331 18903454 22023694 27093836 34608662 37806908 44047388 54187672 66162089 69217324 75613816 88094776 103968997 121130317 132324178 138434648 207937994 242260634 264648356 415875988 484521268 529296712 727782979 831751976 969042536 1143658967 1455565958 2287317934 2911131916 4574635868 5822263832 8005612769 9149271736 12580248637 16011225538 25160497274 32022451076 50320994548 64044902152 88061740459 100641989096 176123480918 352246961836 704493923672