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198982056231864 = 233237411821779611
BaseRepresentation
bin101101001111100100011110…
…110001110100001110111000
3222002112111110121211202200100
4231033210132301310032320
5202040110222343404424
61543111032241435400
756624656564124613
oct5517443661641670
9862474417752610
10198982056231864
11584468a8322914
121a39808003bb60
138704c09620879
14371cad642b17a
151800ea737adc9
hexb4f91ec743b8

198982056231864 has 96 divisors (see below), whose sum is σ = 566974250846640. Its totient is φ = 62960703321600.

The previous prime is 198982056231851. The next prime is 198982056231869. The reversal of 198982056231864 is 468132650289891.

198982056231864 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 8 + 20 + 562 + 31 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198982056231792 and 198982056231801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198982056231869) 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, 910780582 + ... + 910999029.

Almost surely, 2198982056231864 is an apocalyptic number.

It is an amenable number.

198982056231864 is an abundant number, since it is smaller than the sum of its proper divisors (367992194614776).

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

198982056231864 is a wasteful number, since it uses less digits than its factorization.

198982056231864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821779701 (or 1821779694 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 198982056231864 in words is "one hundred ninety-eight trillion, nine hundred eighty-two billion, fifty-six million, two hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 328 333 369 444 492 666 738 888 984 1332 1476 1517 2664 2952 3034 4551 6068 9102 12136 13653 18204 27306 36408 54612 109224 1821779611 3643559222 5465338833 7287118444 10930677666 14574236888 16396016499 21861355332 32792032998 43722710664 65584065996 67405845607 74692964051 131168131992 134811691214 149385928102 202217536821 224078892153 269623382428 298771856204 404435073642 448157784306 539246764856 597543712408 606652610463 672236676459 808870147284 896315568612 1213305220926 1344473352918 1617740294568 1792631137224 2426610441852 2688946705836 2763639669887 4853220883704 5377893411672 5527279339774 8290919009661 11054558679548 16581838019322 22109117359096 24872757028983 33163676038644 49745514057966 66327352077288 99491028115932 198982056231864