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18183065040 = 24325721134561
BaseRepresentation
bin10000111011110010…
…111000110111010000
31201221012122102001100
4100323302320313100
5244214331040130
612204142104400
71212410334300
oct207362706720
951835572040
1018183065040
117790958988
12363557b100
13193a1385aa
14c46c81600
157164b9c60
hex43bcb8dd0

18183065040 has 360 divisors, whose sum is σ = 71678892168. Its totient is φ = 4118446080.

The previous prime is 18183065039. The next prime is 18183065053. The reversal of 18183065040 is 4056038181.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 18040787856 = 11928^2 + 134316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18183064986 and 18183065004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3984360 + ... + 3988920.

Almost surely, 218183065040 is an apocalyptic number.

18183065040 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 18183065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35839446084).

18183065040 is an abundant number, since it is smaller than the sum of its proper divisors (53495827128).

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

18183065040 is a wasteful number, since it uses less digits than its factorization.

18183065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18183065040 in words is "eighteen billion, one hundred eighty-three million, sixty-five thousand, forty".