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18010840320 = 283351125973
BaseRepresentation
bin10000110001100001…
…111001110100000000
31201111012120111011000
4100301201321310000
5243341233342240
612135110452000
71205216421354
oct206141716400
951435514130
1018010840320
117702716a00
1235a7964000
131910557785
14c2c04d464
157062ea430
hex431879d00

18010840320 has 864 divisors, whose sum is σ = 72421372800. Its totient is φ = 4233461760.

The previous prime is 18010840313. The next prime is 18010840321. The reversal of 18010840320 is 2304801081.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18010840321) 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 95 ways as a sum of consecutive naturals, for example, 246723804 + ... + 246723876.

Almost surely, 218010840320 is an apocalyptic number.

18010840320 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 18010840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210686400).

18010840320 is an abundant number, since it is smaller than the sum of its proper divisors (54410532480).

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

18010840320 is a wasteful number, since it uses less digits than its factorization.

18010840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18010840320 in words is "eighteen billion, ten million, eight hundred forty thousand, three hundred twenty".