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18327956094 = 2327295778693
BaseRepresentation
bin10001000100011011…
…100110101001111110
31202022022021122012200
4101010123212221332
5300013424043334
612230355412330
71216120025220
oct210433465176
952268248180
1018327956094
117855720758
123675bb40a6
131961168c46
14c5c1da410
1572408a799
hex4446e6a7e

18327956094 has 96 divisors (see below), whose sum is σ = 47035235520. Its totient is φ = 5046644736.

The previous prime is 18327956089. The next prime is 18327956107. The reversal of 18327956094 is 49065972381.

18327956094 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 79 + 560 + 9 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18327956094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2104012 + ... + 2112704.

It is an arithmetic number, because the mean of its divisors is an integer number (489950370).

It is a 1-persistent number, because it is pandigital, but 2⋅18327956094 = 36655912188 is not.

Almost surely, 218327956094 is an apocalyptic number.

18327956094 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 18327956094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517617760).

18327956094 is an abundant number, since it is smaller than the sum of its proper divisors (28707279426).

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

18327956094 is a wasteful number, since it uses less digits than its factorization.

18327956094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 18327956094 in words is "eighteen billion, three hundred twenty-seven million, nine hundred fifty-six thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 577 609 1154 1218 1731 1827 3462 3654 4039 5193 8078 8693 10386 12117 16733 17386 24234 26079 33466 36351 50199 52158 60851 72702 78237 100398 117131 121702 150597 156474 182553 234262 252097 301194 351393 365106 504194 547659 702786 756291 1054179 1095318 1512582 1764679 2108358 2268873 3529358 4537746 5015861 5294037 10031722 10588074 15047583 15882111 30095166 31764222 35111027 45142749 70222054 90285498 105333081 145459969 210666162 290919938 315999243 436379907 631998486 872759814 1018219783 1309139721 2036439566 2618279442 3054659349 6109318698 9163978047 18327956094