Search a number
-
+
18091918368 = 2532123151031
BaseRepresentation
bin10000110110010111…
…001100010000100000
31201200212010200022200
4100312113030100200
5244023012341433
612151124333200
71210222524456
oct206627142040
951625120280
1018091918368
117744464057
12360ab44200
1319242a4754
14c38b169d6
1570d4b3613
hex4365cc420

18091918368 has 72 divisors (see below), whose sum is σ = 51491696256. Its totient is φ = 6025622400.

The previous prime is 18091918367. The next prime is 18091918373. The reversal of 18091918368 is 86381919081.

18091918368 is a `hidden beast` number, since 180 + 91 + 9 + 18 + 368 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18091918363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 329013 + ... + 380043.

It is an arithmetic number, because the mean of its divisors is an integer number (715162448).

Almost surely, 218091918368 is an apocalyptic number.

18091918368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18091918368 is an abundant number, since it is smaller than the sum of its proper divisors (33399777888).

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

18091918368 is a wasteful number, since it uses less digits than its factorization.

18091918368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52278 (or 52267 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 18091918368 in words is "eighteen billion, ninety-one million, nine hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1231 2462 3693 4924 7386 9848 11079 14772 19696 22158 29544 39392 44316 51031 59088 88632 102062 118176 153093 177264 204124 306186 354528 408248 459279 612372 816496 918558 1224744 1632992 1837116 2449488 3674232 4898976 7348464 14696928 62819161 125638322 188457483 251276644 376914966 502553288 565372449 753829932 1005106576 1130744898 1507659864 2010213152 2261489796 3015319728 4522979592 6030639456 9045959184 18091918368