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18052397568 = 293215724953
BaseRepresentation
bin10000110100000000…
…011011101000000000
31201121002202210222100
4100310000123220000
5243432403210233
612143153310400
71206232563462
oct206400335000
951532683870
1018052397568
117724120537
1235b9865400
13191904806a
14c3378a132
15709ca8813
hex43401ba00

18052397568 has 120 divisors (see below), whose sum is σ = 52434392868. Its totient is φ = 5978898432.

The previous prime is 18052397551. The next prime is 18052397579. The reversal of 18052397568 is 86579325081.

It can be written as a sum of positive squares in 2 ways, for example, as 18050459904 + 1937664 = 134352^2 + 1392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 710980 + ... + 735932.

Almost surely, 218052397568 is an apocalyptic number.

18052397568 is a gapful number since it is divisible by the number (18) 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 18052397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26217196434).

18052397568 is an abundant number, since it is smaller than the sum of its proper divisors (34381995300).

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

18052397568 is a wasteful number, since it uses less digits than its factorization.

18052397568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25134 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 18052397568 in words is "eighteen billion, fifty-two million, three hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 628 768 942 1152 1256 1413 1536 1884 2304 2512 2826 3768 4608 5024 5652 7536 10048 11304 15072 20096 22608 24953 30144 40192 45216 49906 60288 74859 80384 90432 99812 120576 149718 180864 199624 224577 241152 299436 361728 399248 449154 598872 723456 798496 898308 1197744 1596992 1796616 2395488 3193984 3593232 3917621 4790976 6387968 7186464 7835242 9581952 11752863 12775936 14372928 15670484 19163904 23505726 28745856 31340968 35258589 38327808 47011452 57491712 62681936 70517178 94022904 114983424 125363872 141034356 188045808 250727744 282068712 376091616 501455488 564137424 752183232 1002910976 1128274848 1504366464 2005821952 2256549696 3008732928 4513099392 6017465856 9026198784 18052397568