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18697271040 = 283357261181
BaseRepresentation
bin10001011010011100…
…011011011100000000
31210021001012210002000
4101122130123130000
5301243000133130
612331151224000
71231223116200
oct213234333400
953231183060
1018697271040
117a25138518
123759818000
1319bc8257b6
14c95294400
157466dc260
hex45a71b700

18697271040 has 864 divisors, whose sum is σ = 78880576320. Its totient is φ = 4180377600.

The previous prime is 18697271027. The next prime is 18697271053. The reversal of 18697271040 is 4017279681.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18697271027) and next prime (18697271053).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103299750 + ... + 103299930.

Almost surely, 218697271040 is an apocalyptic number.

18697271040 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 18697271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39440288160).

18697271040 is an abundant number, since it is smaller than the sum of its proper divisors (60183305280).

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

18697271040 is a wasteful number, since it uses less digits than its factorization.

18697271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 18697271040 in words is "eighteen billion, six hundred ninety-seven million, two hundred seventy-one thousand, forty".