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18943511328 = 2532731910093
BaseRepresentation
bin10001101001000111…
…110000101100100000
31210220012120002020200
4101221013300230200
5302244014330303
612411425105200
71240303122000
oct215107605440
953805502220
1018943511328
118041133495
123808188200
131a2b84cb01
14cb9c72000
1575d12c3a3
hex4691f0b20

18943511328 has 288 divisors, whose sum is σ = 66135888000. Its totient is φ = 5127058944.

The previous prime is 18943511297. The next prime is 18943511333. The reversal of 18943511328 is 82311534981.

18943511328 is a `hidden beast` number, since 1 + 89 + 435 + 1 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871850 + ... + 1881942.

It is an arithmetic number, because the mean of its divisors is an integer number (229638500).

Almost surely, 218943511328 is an apocalyptic number.

18943511328 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 18943511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067944000).

18943511328 is an abundant number, since it is smaller than the sum of its proper divisors (47192376672).

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

18943511328 is a wasteful number, since it uses less digits than its factorization.

18943511328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149 (or 10124 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 18943511328 in words is "eighteen billion, nine hundred forty-three million, five hundred eleven thousand, three hundred twenty-eight".