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18017956896 = 2533137163633
BaseRepresentation
bin10000110001111101…
…000011010000100000
31201111200222001020220
4100301331003100200
5243400044110041
612135523203040
71205334051402
oct206175032040
951450861226
1018017956896
117706737775
1235aa216480
131911b79a74
14c2cd82b72
15706c53d66
hex431f43420

18017956896 has 96 divisors (see below), whose sum is σ = 50142693888. Its totient is φ = 5655121920.

The previous prime is 18017956877. The next prime is 18017956921. The reversal of 18017956896 is 69865971081.

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

It is a super-2 number, since 2×180179568962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 28296 + ... + 191928.

It is an arithmetic number, because the mean of its divisors is an integer number (522319728).

Almost surely, 218017956896 is an apocalyptic number.

18017956896 is a gapful number since it is divisible by the number (16) 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 18017956896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071346944).

18017956896 is an abundant number, since it is smaller than the sum of its proper divisors (32124736992).

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

18017956896 is a wasteful number, since it uses less digits than its factorization.

18017956896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163714 (or 163706 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 18017956896 in words is "eighteen billion, seventeen million, nine hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 13764 18352 27528 36704 55056 110112 163633 327266 490899 654532 981798 1309064 1963596 2618128 3927192 5072623 5236256 6054421 7854384 10145246 12108842 15217869 15708768 18163263 20290492 24217684 30435738 36326526 40580984 48435368 60871476 72653052 81161968 96870736 121742952 145306104 162323936 187687051 193741472 243485904 290612208 375374102 486971808 563061153 581224416 750748204 1126122306 1501496408 2252244612 3002992816 4504489224 6005985632 9008978448 18017956896