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18769091112 = 2332312271261
BaseRepresentation
bin10001011110101110…
…011001101000101000
31210110001100121200200
4101132232121220220
5301414341403422
612342234432200
71233054433152
oct213656315050
953401317620
1018769091112
117a61731a52
123779892660
131a01680895
14ca0a2bad2
1574cb772ac
hex45eb99a28

18769091112 has 72 divisors (see below), whose sum is σ = 52525817370. Its totient is φ = 6054523200.

The previous prime is 18769091071. The next prime is 18769091123. The reversal of 18769091112 is 21119096781.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15024385476 + 3744705636 = 122574^2 + 61194^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 66439 + ... + 204822.

Almost surely, 218769091112 is an apocalyptic number.

18769091112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18769091112 is an abundant number, since it is smaller than the sum of its proper divisors (33756726258).

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

18769091112 is a wasteful number, since it uses less digits than its factorization.

18769091112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271335 (or 271297 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 18769091112 in words is "eighteen billion, seven hundred sixty-nine million, ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 69192 271261 542522 813783 1085044 1627566 2170088 2441349 3255132 4882698 6510264 8409091 9765396 16818182 19530792 25227273 33636364 50454546 67272728 75681819 100909092 151363638 201818184 260681821 302727276 521363642 605454552 782045463 1042727284 1564090926 2085454568 2346136389 3128181852 4692272778 6256363704 9384545556 18769091112