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18312613896976 = 24721528332
BaseRepresentation
bin1000010100111101111001…
…10110001010001100010000
32101211200001112211001010021
410022132330312022030100
54400013213124200401
6102540410525513224
73600020433552100
oct412367466121420
971750045731107
1018312613896976
115920377154aa3
122079135412814
13a2ab44c65c39
14474499c91200
1521b546b4d2a1
hex10a7bcd8a310

18312613896976 has 45 divisors (see below), whose sum is σ = 41273725103541. Its totient is φ = 7848211746816.

The previous prime is 18312613896947. The next prime is 18312613897003. The reversal of 18312613896976 is 67969831621381.

The square root of 18312613896976 is 4279324.

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

It can be written as a sum of positive squares in only one way, i.e., 7283413488400 + 11029200408576 = 2698780^2 + 3321024^2 .

It is a super-2 number, since 2×183126138969762 (a number of 27 digits) contains 22 as substring.

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, 119744656 + ... + 119897488.

Almost surely, 218312613896976 is an apocalyptic number.

18312613896976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18312613896976 is the 4279324-th square number.

It is an amenable number.

18312613896976 is an abundant number, since it is smaller than the sum of its proper divisors (22961111206565).

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

18312613896976 is an frugal number, since it uses more digits than its factorization.

18312613896976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305688 (or 152842 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 70.

The spelling of 18312613896976 in words is "eighteen trillion, three hundred twelve billion, six hundred thirteen million, eight hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 152833 305666 611332 1069831 1222664 2139662 2445328 4279324 7488817 8558648 14977634 17117296 29955268 59910536 119821072 23357925889 46715851778 93431703556 163505481223 186863407112 327010962446 373726814224 654021924892 1144538368561 1308043849784 2289076737122 2616087699568 4578153474244 9156306948488 18312613896976