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18083150274 = 23717292114139
BaseRepresentation
bin10000110101110101…
…101111100111000010
31201200020122012202110
4100311311233213002
5244013241302044
612150212400150
71210055145510
oct206565574702
951606565673
1018083150274
11773a5154a2
123608016056
131922524827
14c378b34b0
1570c8306b9
hex435d6f9c2

18083150274 has 128 divisors (see below), whose sum is σ = 45498931200. Its totient is φ = 4671636480.

The previous prime is 18083150243. The next prime is 18083150329. The reversal of 18083150274 is 47205138081.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 4366897 + ... + 4371035.

It is an arithmetic number, because the mean of its divisors is an integer number (355460400).

Almost surely, 218083150274 is an apocalyptic number.

18083150274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18083150274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22749465600).

18083150274 is an abundant number, since it is smaller than the sum of its proper divisors (27415780926).

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

18083150274 is a wasteful number, since it uses less digits than its factorization.

18083150274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 18083150274 in words is "eighteen billion, eighty-three million, one hundred fifty thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 211 238 357 406 422 493 609 633 714 986 1218 1266 1477 1479 2954 2958 3451 3587 4139 4431 6119 6902 7174 8278 8862 10353 10761 12238 12417 18357 20706 21522 24834 25109 28973 36714 42833 50218 57946 70363 75327 85666 86919 104023 120031 128499 140726 150654 173838 208046 211089 240062 256998 312069 360093 422178 492541 624138 720186 728161 840217 873329 985082 1456322 1477623 1680434 1746658 2040527 2184483 2520651 2619987 2955246 4081054 4368966 5041302 5239974 6113303 6121581 12226606 12243162 14283689 14846593 18339909 25326541 28567378 29693186 36679818 42851067 44539779 50653082 75979623 85702134 89079558 103926151 151959246 177285787 207852302 311778453 354571574 430551197 531857361 623556906 861102394 1063714722 1291653591 2583307182 3013858379 6027716758 9041575137 18083150274