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18925732864 = 21020299109
BaseRepresentation
bin10001101000000011…
…111100010000000000
31210211222002211210001
4101220003330100000
5302224441422424
612405552045344
71236666034513
oct215003742000
953758084701
1018925732864
1180320a0245
123802233854
131a27c668cc
14cb7764d7a
1575b7b9844
hex4680fc400

18925732864 has 44 divisors (see below), whose sum is σ = 37855785100. Its totient is φ = 9457164288.

The previous prime is 18925732853. The next prime is 18925732871. The reversal of 18925732864 is 46823752981.

It can be written as a sum of positive squares in 2 ways, for example, as 11837440000 + 7088292864 = 108800^2 + 84192^2 .

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 3 ways as a sum of consecutive naturals, for example, 2073142 + ... + 2082250.

Almost surely, 218925732864 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 18925732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927892550).

18925732864 is an abundant number, since it is smaller than the sum of its proper divisors (18930052236).

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

18925732864 is an equidigital number, since it uses as much as digits as its factorization.

18925732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158 (or 11140 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 18925732864 in words is "eighteen billion, nine hundred twenty-five million, seven hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2029 4058 8116 9109 16232 18218 32464 36436 64928 72872 129856 145744 259712 291488 519424 582976 1038848 1165952 2077696 2331904 4663808 9327616 18482161 36964322 73928644 147857288 295714576 591429152 1182858304 2365716608 4731433216 9462866432 18925732864