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18386574864 = 2437213125679
BaseRepresentation
bin10001000111111011…
…001101111000010000
31202110101120210001020
4101013323031320100
5300123430343424
612240252035440
71220431210350
oct210773157020
952411523036
1018386574864
117885818919
123691762b80
1319703512c8
14c65cd8b60
157292b9079
hex447ecde10

18386574864 has 80 divisors (see below), whose sum is σ = 54311761920. Its totient is φ = 5250637440.

The previous prime is 18386574851. The next prime is 18386574883. The reversal of 18386574864 is 46847568381.

It is a super-2 number, since 2×183865748642 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18386574798 and 18386574807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703177 + ... + 728855.

It is an arithmetic number, because the mean of its divisors is an integer number (678897024).

Almost surely, 218386574864 is an apocalyptic number.

18386574864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18386574864 is an abundant number, since it is smaller than the sum of its proper divisors (35925187056).

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

18386574864 is a wasteful number, since it uses less digits than its factorization.

18386574864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27828 (or 27822 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 18386574864 in words is "eighteen billion, three hundred eighty-six million, five hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2131 4262 6393 8524 12786 14917 17048 25572 25679 29834 34096 44751 51144 51358 59668 77037 89502 102288 102716 119336 154074 179004 179753 205432 238672 308148 358008 359506 410864 539259 616296 716016 719012 1078518 1232592 1438024 2157036 2876048 4314072 8628144 54721949 109443898 164165847 218887796 328331694 383053643 437775592 656663388 766107286 875551184 1149160929 1313326776 1532214572 2298321858 2626653552 3064429144 4596643716 6128858288 9193287432 18386574864