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18894874656 = 253737759929
BaseRepresentation
bin10001100110001110…
…001110100000100000
31210202211001002021110
4101212032032200200
5302144041442111
612402530423320
71236142533060
oct214616164040
953684032243
1018894874656
118016733a99
1237b3a31b40
131a21751108
14cb36113a0
15758c215a6
hex46638e820

18894874656 has 96 divisors (see below), whose sum is σ = 58216717440. Its totient is φ = 5252622336.

The previous prime is 18894874651. The next prime is 18894874699. The reversal of 18894874656 is 65647849881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×188948746562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18894874651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355101 + ... + 404828.

It is an arithmetic number, because the mean of its divisors is an integer number (606424140).

Almost surely, 218894874656 is an apocalyptic number.

18894874656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18894874656 is an abundant number, since it is smaller than the sum of its proper divisors (39321842784).

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

18894874656 is a wasteful number, since it uses less digits than its factorization.

18894874656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759986 (or 759978 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 18894874656 in words is "eighteen billion, eight hundred ninety-four million, eight hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 759929 1519858 2279787 3039716 4559574 5319503 6079432 9119148 10639006 12158864 15958509 18238296 21278012 24317728 28117373 31917018 36476592 42556024 56234746 63834036 72953184 84352119 85112048 112469492 127668072 168704238 170224096 196821611 224938984 255336144 337408476 393643222 449877968 510672288 590464833 674816952 787286444 899755936 1180929666 1349633904 1574572888 2361859332 2699267808 3149145776 4723718664 6298291552 9447437328 18894874656