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18890843328 = 26357199133
BaseRepresentation
bin10001100101111110…
…110110010011000000
31210202112110021100000
4101211332312103000
5302142023441303
612402304200000
71236063342660
oct214576662300
953675407300
1018890843328
118014430215
1237b2609000
131a2096c206
14cb2c821a0
157586c6da3
hex465fb64c0

18890843328 has 336 divisors, whose sum is σ = 67559448320. Its totient is φ = 5112751104.

The previous prime is 18890843327. The next prime is 18890843393. The reversal of 18890843328 is 82334809881.

It is a happy number.

18890843328 is a `hidden beast` number, since 188 + 9 + 0 + 8 + 433 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (18890843327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063850 + ... + 2072982.

Almost surely, 218890843328 is an apocalyptic number.

18890843328 is a gapful number since it is divisible by the number (18) 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 18890843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779724160).

18890843328 is an abundant number, since it is smaller than the sum of its proper divisors (48668604992).

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

18890843328 is an equidigital number, since it uses as much as digits as its factorization.

18890843328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 18890843328 in words is "eighteen billion, eight hundred ninety million, eight hundred forty-three thousand, three hundred twenty-eight".