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18826035264 = 263257172
BaseRepresentation
bin10001100010000111…
…101000000001000000
31210121000111200101100
4101202013220001000
5302023431112024
612352031134400
71234345442121
oct214207500100
953530450340
1018826035264
117a90895a33
123794974400
131a103ca94a
14ca8412048
15752b747c9
hex4621e8040

18826035264 has 63 divisors (see below), whose sum is σ = 53970871357. Its totient is φ = 6274247424.

The previous prime is 18826035253. The next prime is 18826035271. The reversal of 18826035264 is 46253062881.

The square root of 18826035264 is 137208.

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

18826035264 is a `hidden beast` number, since 18 + 8 + 2 + 603 + 5 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10974657600 + 7851377664 = 104760^2 + 88608^2 .

It is a super-2 number, since 2×188260352642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3290134 + ... + 3295850.

Almost surely, 218826035264 is an apocalyptic number.

18826035264 is the 137208-th square number.

It is an amenable number.

18826035264 is an abundant number, since it is smaller than the sum of its proper divisors (35144836093).

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

18826035264 is an frugal number, since it uses more digits than its factorization.

18826035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18826035264 in words is "eighteen billion, eight hundred twenty-six million, thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5717 11434 17151 22868 34302 45736 51453 68604 91472 102906 137208 182944 205812 274416 365888 411624 548832 823248 1097664 1646496 3292992 32684089 65368178 98052267 130736356 196104534 261472712 294156801 392209068 522945424 588313602 784418136 1045890848 1176627204 1568836272 2091781696 2353254408 3137672544 4706508816 6275345088 9413017632 18826035264