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18863490672 = 24321326197131
BaseRepresentation
bin10001100100010110…
…100000011001110000
31210200121222121112200
4101210112200121300
5302113023200142
612355450023200
71235312011425
oct214426403160
953617877480
1018863490672
117aaaa48814
1237a5417b00
131a180b3200
14cad3a1d4c
157560c264c
hex4645a0670

18863490672 has 360 divisors, whose sum is σ = 59149057968. Its totient is φ = 5607014400.

The previous prime is 18863490661. The next prime is 18863490673. The reversal of 18863490672 is 27609436881.

18863490672 is a `hidden beast` number, since 1 + 8 + 86 + 3 + 490 + 6 + 72 = 666.

It is a super-3 number, since 3×188634906723 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18863490673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143996047 + ... + 143996177.

Almost surely, 218863490672 is an apocalyptic number.

18863490672 is a gapful number since it is divisible by the number (12) 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 18863490672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29574528984).

18863490672 is an abundant number, since it is smaller than the sum of its proper divisors (40285567296).

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

18863490672 is a wasteful number, since it uses less digits than its factorization.

18863490672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 18863490672 in words is "eighteen billion, eight hundred sixty-three million, four hundred ninety thousand, six hundred seventy-two".