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18049318560 = 253357313937
BaseRepresentation
bin10000110011110100…
…101011111010100000
31201120212222101101000
4100303310223322200
5243431111143220
612143003312000
71206164451000
oct206364537240
951525871330
1018049318560
1177224081a9
1235b881b600
13191850a770
14c331c8000
1570989b390
hex433d2bea0

18049318560 has 768 divisors, whose sum is σ = 79422336000. Its totient is φ = 3804143616.

The previous prime is 18049318549. The next prime is 18049318589. The reversal of 18049318560 is 6581394081.

18049318560 is a `hidden beast` number, since 1 + 80 + 4 + 9 + 3 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 19262412 + ... + 19263348.

It is an arithmetic number, because the mean of its divisors is an integer number (103414500).

Almost surely, 218049318560 is an apocalyptic number.

18049318560 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 18049318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39711168000).

18049318560 is an abundant number, since it is smaller than the sum of its proper divisors (61373017440).

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

18049318560 is a wasteful number, since it uses less digits than its factorization.

18049318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18049318560 in words is "eighteen billion, forty-nine million, three hundred eighteen thousand, five hundred sixty".