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18945159072 = 2537239117959
BaseRepresentation
bin10001101001001110…
…000010111110100000
31210220022122210112020
4101221032002332200
5302244430042242
612411524301440
71240323123630
oct215116027640
953808583466
1018945159072
118042059464
123808841880
131a2bca8ac8
14cba1806c0
1575d3556ec
hex469382fa0

18945159072 has 96 divisors (see below), whose sum is σ = 57073766400. Its totient is φ = 5390208768.

The previous prime is 18945159067. The next prime is 18945159073. The reversal of 18945159072 is 27095154981.

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

It is not an unprimeable number, because it can be changed into a prime (18945159073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101629 + ... + 219587.

It is an arithmetic number, because the mean of its divisors is an integer number (594518400).

Almost surely, 218945159072 is an apocalyptic number.

18945159072 is a gapful number since it is divisible by the number (12) 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 18945159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28536883200).

18945159072 is an abundant number, since it is smaller than the sum of its proper divisors (38128607328).

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

18945159072 is a wasteful number, since it uses less digits than its factorization.

18945159072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118218 (or 118210 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 18945159072 in words is "eighteen billion, nine hundred forty-five million, one hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 20076 22944 26768 40152 53536 80304 117959 160608 235918 353877 471836 707754 825713 943672 1415508 1651426 1887344 2477139 2831016 3302852 3774688 4954278 5662032 6605704 9908556 11324064 13211408 19817112 26422816 28192201 39634224 56384402 79268448 84576603 112768804 169153206 197345407 225537608 338306412 394690814 451075216 592036221 676612824 789381628 902150432 1184072442 1353225648 1578763256 2368144884 2706451296 3157526512 4736289768 6315053024 9472579536 18945159072