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18123099920 = 2452943181667
BaseRepresentation
bin10000111000001110…
…001000111100010000
31201210000210212100222
4100320032020330100
5244104003144140
612154200532212
71211051544002
oct207016107420
951700725328
1018123099920
117760021232
123619481068
13192a8a1483
14c3cd12372
157110c25b5
hex438388f10

18123099920 has 80 divisors (see below), whose sum is σ = 44603127360. Its totient is φ = 6836454912.

The previous prime is 18123099913. The next prime is 18123099961. The reversal of 18123099920 is 2999032181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8927 + ... + 190593.

It is an arithmetic number, because the mean of its divisors is an integer number (557539092).

Almost surely, 218123099920 is an apocalyptic number.

18123099920 is a gapful number since it is divisible by the number (10) 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 18123099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22301563680).

18123099920 is an abundant number, since it is smaller than the sum of its proper divisors (26480027440).

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

18123099920 is a wasteful number, since it uses less digits than its factorization.

18123099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181752 (or 181746 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 18123099920 in words is "eighteen billion, one hundred twenty-three million, ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 49880 99760 181667 363334 726668 908335 1453336 1816670 2906672 3633340 5268343 7266680 7811681 10536686 14533360 15623362 21073372 26341715 31246724 39058405 42146744 52683430 62493448 78116810 84293488 105366860 124986896 156233620 210733720 226538749 312467240 421467440 453077498 624934480 906154996 1132693745 1812309992 2265387490 3624619984 4530774980 9061549960 18123099920