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18814729464 = 23331743119159
BaseRepresentation
bin10001100001011100…
…011111110011111000
31210120020020021202000
4101201130133303320
5302013032320324
612350544541000
71234150363446
oct214134376370
953506207660
1018814729464
117a854737a3
123791021760
131a0ac6c91b
14ca6b0bb96
15751b8e9c9
hex46171fcf8

18814729464 has 128 divisors (see below), whose sum is σ = 56624832000. Its totient is φ = 5765340672.

The previous prime is 18814729441. The next prime is 18814729489. The reversal of 18814729464 is 46492741881.

18814729464 is a `hidden beast` number, since 1 + 8 + 81 + 472 + 94 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18814729464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98317 + ... + 217475.

It is an arithmetic number, because the mean of its divisors is an integer number (442381500).

Almost surely, 218814729464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18814729464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28312416000).

18814729464 is an abundant number, since it is smaller than the sum of its proper divisors (37810102536).

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

18814729464 is a wasteful number, since it uses less digits than its factorization.

18814729464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119234 (or 119224 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 18814729464 in words is "eighteen billion, eight hundred fourteen million, seven hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 258 306 344 387 408 459 516 612 731 774 918 1032 1161 1224 1462 1548 1836 2193 2322 2924 3096 3672 4386 4644 5848 6579 8772 9288 13158 17544 19737 26316 39474 52632 78948 119159 157896 238318 357477 476636 714954 953272 1072431 1429908 2025703 2144862 2859816 3217293 4051406 4289724 5123837 6077109 6434586 8102812 8579448 10247674 12154218 12869172 15371511 16205624 18231327 20495348 24308436 25738344 30743022 36462654 40990696 46114533 48616872 54693981 61486044 72925308 87105229 92229066 109387962 122972088 138343599 145850616 174210458 184458132 218775924 261315687 276687198 348420916 368916264 437551848 522631374 553374396 696841832 783947061 1045262748 1106748792 1567894122 2090525496 2351841183 3135788244 4703682366 6271576488 9407364732 18814729464