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18744895744 = 284321992
BaseRepresentation
bin10001011101010010…
…000110100100000000
31210101100211100212221
4101131102012210000
5301342143130434
612340012100424
71232341661551
oct213522064400
953340740787
1018744895744
117a4a006683
123771764714
1319c965b9b3
14c9b730328
1574a9982b4
hex45d486900

18744895744 has 81 divisors (see below), whose sum is σ = 38500422723. Its totient is φ = 9108481536.

The previous prime is 18744895733. The next prime is 18744895781. The reversal of 18744895744 is 44759844781.

It is a happy number.

The square root of 18744895744 is 136912.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×187448957442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94195357 + ... + 94195555.

Almost surely, 218744895744 is an apocalyptic number.

18744895744 is the 136912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18744895744

18744895744 is an abundant number, since it is smaller than the sum of its proper divisors (19755526979).

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

18744895744 is an frugal number, since it uses more digits than its factorization.

18744895744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 244 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The spelling of 18744895744 in words is "eighteen billion, seven hundred forty-four million, eight hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 199 256 344 398 688 796 1376 1592 1849 2752 3184 3698 5504 6368 7396 8557 11008 12736 14792 17114 25472 29584 34228 39601 50944 59168 68456 79202 118336 136912 158404 236672 273824 316808 367951 473344 547648 633616 735902 1095296 1267232 1471804 1702843 2190592 2534464 2943608 3405686 5068928 5887216 6811372 10137856 11774432 13622744 23548864 27245488 47097728 54490976 73222249 94195456 108981952 146444498 217963904 292888996 435927808 585777992 1171555984 2343111968 4686223936 9372447872 18744895744