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18968910480 = 2435513471597
BaseRepresentation
bin10001101010101000…
…101001101010010000
31210221222100111100000
4101222220221222100
5302322020113410
612414133330000
71241032036002
oct215250515220
953858314300
1018968910480
118054501223
123814796900
131a33ba38b0
14cbd3a4372
15760497dc0
hex46aa29a90

18968910480 has 480 divisors, whose sum is σ = 72704346624. Its totient is φ = 4567062528.

The previous prime is 18968910439. The next prime is 18968910481. The reversal of 18968910480 is 8401986981.

18968910480 is a `hidden beast` number, since 1 + 89 + 6 + 89 + 1 + 0 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18968910481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11877042 + ... + 11878638.

Almost surely, 218968910480 is an apocalyptic number.

18968910480 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 18968910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352173312).

18968910480 is an abundant number, since it is smaller than the sum of its proper divisors (53735436144).

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

18968910480 is a wasteful number, since it uses less digits than its factorization.

18968910480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18968910480 in words is "eighteen billion, nine hundred sixty-eight million, nine hundred ten thousand, four hundred eighty".