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18718617856 = 281725032
BaseRepresentation
bin10001011011101101…
…110111000100000000
31210022112101022101211
4101123231313010000
5301313431232411
612333232535504
71231602424621
oct213355670400
953275338354
1018718617856
117a36198714
1237649b1594
1319c408ac53
14c9804da48
15748507221
hex45bb77100

18718617856 has 81 divisors (see below), whose sum is σ = 39770358901. Its totient is φ = 8791248896.

The previous prime is 18718617823. The next prime is 18718617859. The reversal of 18718617856 is 65871681781.

The square root of 18718617856 is 136816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14573318400 + 4145299456 = 120720^2 + 64384^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18718617856.

It is not an unprimeable number, because it can be changed into a prime (18718617859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37213701 + ... + 37214203.

Almost surely, 218718617856 is an apocalyptic number.

18718617856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18718617856 is the 136816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18718617856

18718617856 is an abundant number, since it is smaller than the sum of its proper divisors (21051741045).

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

18718617856 is an frugal number, since it uses more digits than its factorization.

18718617856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 522 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 58.

The spelling of 18718617856 in words is "eighteen billion, seven hundred eighteen million, six hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 503 544 578 1006 1088 1156 2012 2176 2312 4024 4352 4624 8048 8551 9248 16096 17102 18496 32192 34204 36992 64384 68408 73984 128768 136816 145367 253009 273632 290734 506018 547264 581468 1012036 1094528 1162936 2024072 2189056 2325872 4048144 4301153 4651744 8096288 8602306 9303488 16192576 17204612 18606976 32385152 34409224 37213952 64770304 68818448 73119601 137636896 146239202 275273792 292478404 550547584 584956808 1101095168 1169913616 2339827232 4679654464 9359308928 18718617856