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18197412992 = 271161720947
BaseRepresentation
bin10000111100101001…
…100111110010000000
31201222012122100201222
4100330221213302000
5244232014203432
612205413414212
71212643313123
oct207451476200
951865570658
1018197412992
117798a687a0
12363a33a368
1319400c01c5
14c48b383ba
157178a1112
hex43ca67c80

18197412992 has 64 divisors (see below), whose sum is σ = 39614343840. Its totient is φ = 8257751040.

The previous prime is 18197412991. The next prime is 18197413021. The reversal of 18197412992 is 29921479181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×181974129922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18197412991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858263 + ... + 879209.

Almost surely, 218197412992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18197412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807171920).

18197412992 is an abundant number, since it is smaller than the sum of its proper divisors (21416930848).

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

18197412992 is a wasteful number, since it uses less digits than its factorization.

18197412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21589 (or 21577 counting only the distinct ones).

The product of its digits is 653184, while the sum is 53.

The spelling of 18197412992 in words is "eighteen billion, one hundred ninety-seven million, four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 617 704 1234 1408 2468 4936 6787 9872 13574 19744 20947 27148 39488 41894 54296 78976 83788 108592 167576 217184 230417 335152 434368 460834 670304 868736 921668 1340608 1843336 2681216 3686672 7373344 12924299 14746688 25848598 29493376 51697196 103394392 142167289 206788784 284334578 413577568 568669156 827155136 1137338312 1654310272 2274676624 4549353248 9098706496 18197412992