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18327803904 = 21134176797
BaseRepresentation
bin10001000100011011…
…000001100000000000
31202022021222220110000
4101010123001200000
5300013404211104
612230352240000
71216115522424
oct210433014000
952267886400
1018327803904
117855627383
123675b40000
1319611148a7
14c5c19ab84
1572405a639
hex4446c1800

18327803904 has 480 divisors, whose sum is σ = 59435616240. Its totient is φ = 5605687296.

The previous prime is 18327803903. The next prime is 18327803927. The reversal of 18327803904 is 40930872381.

18327803904 is a `hidden beast` number, since 183 + 2 + 7 + 80 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18327803904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18327803903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188946384 + ... + 188946480.

Almost surely, 218327803904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18327803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29717808120).

18327803904 is an abundant number, since it is smaller than the sum of its proper divisors (41107812336).

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

18327803904 is an equidigital number, since it uses as much as digits as its factorization.

18327803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18327803904 in words is "eighteen billion, three hundred twenty-seven million, eight hundred three thousand, nine hundred four".