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18368545920 = 273521145341
BaseRepresentation
bin10001000110110110…
…011100010010000000
31202102010122210222120
4101012312130102000
5300104321432140
612234405404240
71220122031004
oct210666342200
952363583876
1018368545920
11787662446a
123687709680
1319696ab0aa
14c63764704
157279071d0
hex446d9c480

18368545920 has 128 divisors (see below), whose sum is σ = 58828524480. Its totient is φ = 4874956800.

The previous prime is 18368545859. The next prime is 18368545961. The reversal of 18368545920 is 2954586381.

It is a tau number, because it is divible by the number of its divisors (128).

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, 382450 + ... + 427790.

Almost surely, 218368545920 is an apocalyptic number.

18368545920 is a gapful number since it is divisible by the number (10) 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 18368545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29414262240).

18368545920 is an abundant number, since it is smaller than the sum of its proper divisors (40459978560).

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

18368545920 is a wasteful number, since it uses less digits than its factorization.

18368545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45574 (or 45562 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 18368545920 in words is "eighteen billion, three hundred sixty-eight million, five hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 320 384 422 480 633 640 844 960 1055 1266 1688 1920 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 25320 27008 33760 40512 45341 50640 67520 81024 90682 101280 135040 136023 181364 202560 226705 272046 362728 405120 453410 544092 680115 725456 906820 1088184 1360230 1450912 1813640 2176368 2720460 2901824 3627280 4352736 5440920 5803648 7254560 8705472 9566951 10881840 14509120 17410944 19133902 21763680 28700853 29018240 38267804 43527360 47834755 57401706 76535608 87054720 95669510 114803412 143504265 153071216 191339020 229606824 287008530 306142432 382678040 459213648 574017060 612284864 765356080 918427296 1148034120 1224569728 1530712160 1836854592 2296068240 3061424320 3673709184 4592136480 6122848640 9184272960 18368545920