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18436144818 = 23713157431499
BaseRepresentation
bin10001001010111000…
…010011111010110010
31202120211212012020110
4101022320103322302
5300224123113233
612245222322150
71221602434230
oct211270237262
952524765213
1018436144818
1179007a5523
1236a6289356
13197a6b8a40
14c6c71d950
1572d80b663
hex44ae13eb2

18436144818 has 128 divisors (see below), whose sum is σ = 45868032000. Its totient is φ = 4810440960.

The previous prime is 18436144789. The next prime is 18436144849. The reversal of 18436144818 is 81844163481.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36945933 + ... + 36946431.

It is an arithmetic number, because the mean of its divisors is an integer number (358344000).

Almost surely, 218436144818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18436144818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934016000).

18436144818 is an abundant number, since it is smaller than the sum of its proper divisors (27431887182).

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

18436144818 is a wasteful number, since it uses less digits than its factorization.

18436144818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its digits is 589824, while the sum is 48.

The spelling of 18436144818 in words is "eighteen billion, four hundred thirty-six million, one hundred forty-four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 157 182 273 314 431 471 499 546 862 942 998 1099 1293 1497 2041 2198 2586 2994 3017 3297 3493 4082 5603 6034 6123 6487 6594 6986 9051 10479 11206 12246 12974 14287 16809 18102 19461 20958 28574 33618 38922 39221 42861 45409 67667 78343 78442 85722 90818 117663 135334 136227 156686 203001 215069 235029 235326 272454 406002 430138 470058 473669 548401 645207 879671 947338 1018459 1096802 1290414 1421007 1505483 1645203 1759342 2036918 2639013 2795897 2842014 3010966 3055377 3290406 4516449 5278026 5591794 6110754 6157697 7129213 8387691 9032898 12315394 14258426 16775382 18473091 19571279 21387639 33765833 36946182 39142558 42775278 58713837 67531666 101297499 117427674 202594998 236360831 438955829 472721662 709082493 877911658 1316867487 1418164986 2633734974 3072690803 6145381606 9218072409 18436144818