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18131318184 = 23372392811607
BaseRepresentation
bin10000111000101101…
…011111010110101000
31201210121021101201010
4100320231133112220
5244113104140214
612155053023520
71211211442650
oct207055372650
951717241633
1018131318184
117764724791
123620184ba0
13192c4bb055
14c40051360
15711b97659
hex438b5f5a8

18131318184 has 128 divisors (see below), whose sum is σ = 52238131200. Its totient is φ = 5137144320.

The previous prime is 18131318167. The next prime is 18131318189. The reversal of 18131318184 is 48181313181.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18131318189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11281909 + ... + 11283515.

It is an arithmetic number, because the mean of its divisors is an integer number (408110400).

Almost surely, 218131318184 is an apocalyptic number.

18131318184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18131318184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26119065600).

18131318184 is an abundant number, since it is smaller than the sum of its proper divisors (34106813016).

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

18131318184 is a wasteful number, since it uses less digits than its factorization.

18131318184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The spelling of 18131318184 in words is "eighteen billion, one hundred thirty-one million, three hundred eighteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 281 478 562 717 843 956 1124 1434 1607 1673 1686 1912 1967 2248 2868 3214 3346 3372 3934 4821 5019 5736 5901 6428 6692 6744 7868 9642 10038 11249 11802 12856 13384 15736 19284 20076 22498 23604 33747 38568 40152 44996 47208 67159 67494 89992 134318 134988 201477 268636 269976 384073 402954 451567 470113 537272 768146 805908 903134 940226 1152219 1354701 1410339 1536292 1611816 1806268 1880452 2304438 2688511 2709402 2820678 3072584 3160969 3612536 3760904 4608876 5377022 5418804 5641356 6321938 8065533 9217752 9482907 10754044 10837608 11282712 12643876 16131066 18965814 21508088 25287752 32262132 37931628 64524264 75863256 107924513 215849026 323773539 431698052 647547078 755471591 863396104 1295094156 1510943182 2266414773 2590188312 3021886364 4532829546 6043772728 9065659092 18131318184