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18927872640 = 2737513523
BaseRepresentation
bin10001101000001100…
…000110101010000000
31210212010010120000000
4101220030012222000
5302231013411030
612410110000000
71240023156105
oct215014065200
953763116000
1018927872640
118033321956
123802aa6000
131a28535851
14cb7b60aac
1575ba8d860
hex468306a80

18927872640 has 256 divisors, whose sum is σ = 67868841600. Its totient is φ = 5047059456.

The previous prime is 18927872633. The next prime is 18927872651. The reversal of 18927872640 is 4627872981.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392919 + ... + 1406441.

Almost surely, 218927872640 is an apocalyptic number.

18927872640 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 18927872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33934420800).

18927872640 is an abundant number, since it is smaller than the sum of its proper divisors (48940968960).

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

18927872640 is an frugal number, since it uses more digits than its factorization.

18927872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13533 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 18927872640 in words is "eighteen billion, nine hundred twenty-seven million, eight hundred seventy-two thousand, six hundred forty".