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18944653680 = 24335291671811
BaseRepresentation
bin10001101001001100…
…000111100101110000
31210220021201010021000
4101221030013211300
5302244312404210
612411505402000
71240315620321
oct215114074560
953807633230
1018944653680
118041843787
123808639300
131a2bb5ca64
14cba08c448
1575d2a5ac0
hex469307970

18944653680 has 320 divisors, whose sum is σ = 67945651200. Its totient is φ = 4845818880.

The previous prime is 18944653669. The next prime is 18944653699. The reversal of 18944653680 is 8635644981.

18944653680 is a `hidden beast` number, since 18 + 94 + 4 + 6 + 536 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10459975 + ... + 10461785.

It is an arithmetic number, because the mean of its divisors is an integer number (212330160).

Almost surely, 218944653680 is an apocalyptic number.

18944653680 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 18944653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33972825600).

18944653680 is an abundant number, since it is smaller than the sum of its proper divisors (49000997520).

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

18944653680 is a wasteful number, since it uses less digits than its factorization.

18944653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18944653680 in words is "eighteen billion, nine hundred forty-four million, six hundred fifty-three thousand, six hundred eighty".