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18692874564 = 22372139772503
BaseRepresentation
bin10001011010001011…
…101010000101000100
31210020201221102020120
4101122023222011010
5301240333441224
612330513101540
71231140545400
oct213213520504
953221842216
1018692874564
117a22705371
1237582578b0
1319bb946630
14c9486c100
1574611e779
hex45a2ea144

18692874564 has 144 divisors (see below), whose sum is σ = 54718489728. Its totient is φ = 4922975232.

The previous prime is 18692874553. The next prime is 18692874581. The reversal of 18692874564 is 46547829681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18692874498 and 18692874507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7466937 + ... + 7469439.

It is an arithmetic number, because the mean of its divisors is an integer number (379989512).

Almost surely, 218692874564 is an apocalyptic number.

18692874564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18692874564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359244864).

18692874564 is an abundant number, since it is smaller than the sum of its proper divisors (36025615164).

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

18692874564 is a wasteful number, since it uses less digits than its factorization.

18692874564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3505 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 18692874564 in words is "eighteen billion, six hundred ninety-two million, eight hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 977 1092 1274 1911 1954 2503 2548 2931 3822 3908 5006 5862 6839 7509 7644 10012 11724 12701 13678 15018 17521 20517 25402 27356 30036 32539 35042 38103 41034 47873 50804 52563 65078 70084 76206 82068 88907 95746 97617 105126 122647 130156 143619 152412 177814 191492 195234 210252 227773 245294 266721 287238 355628 367941 390468 455546 490588 533442 574476 622349 683319 735882 911092 1066884 1244698 1366638 1471764 1594411 1867047 2445431 2489396 2733276 3188822 3734094 4783233 4890862 6377644 7336293 7468188 9566466 9781724 14672586 17118017 19132932 29345172 31790603 34236034 51354051 63581206 68472068 95371809 102708102 119826119 127162412 190743618 205416204 222534221 239652238 359478357 381487236 445068442 479304476 667602663 718956714 890136884 1335205326 1437913428 1557739547 2670410652 3115479094 4673218641 6230958188 9346437282 18692874564