Search a number
-
+
18137086816 = 252324642781
BaseRepresentation
bin10000111001000011…
…011111101101100000
31201211000010110210011
4100321003133231200
5244121043234231
612155420414304
71211311460062
oct207103375540
951730113704
1018137086816
117767a04852
1236220a7394
13193075a944
14c40b13732
157124369b1
hex4390dfb60

18137086816 has 24 divisors (see below), whose sum is σ = 37259886384. Its totient is φ = 8674258560.

The previous prime is 18137086787. The next prime is 18137086859. The reversal of 18137086816 is 61868073181.

It is a super-2 number, since 2×181370868162 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18137086816.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 12320655 + ... + 12322126.

It is an arithmetic number, because the mean of its divisors is an integer number (1552495266).

Almost surely, 218137086816 is an apocalyptic number.

18137086816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18137086816 is an abundant number, since it is smaller than the sum of its proper divisors (19122799568).

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

18137086816 is a wasteful number, since it uses less digits than its factorization.

18137086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642814 (or 24642806 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 18137086816 in words is "eighteen billion, one hundred thirty-seven million, eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 24642781 49285562 98571124 197142248 394284496 566783963 788568992 1133567926 2267135852 4534271704 9068543408 18137086816