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18842365920 = 2535724571753
BaseRepresentation
bin10001100011000101…
…111010111111100000
31210122011020100211110
4101203011322333200
5302042121202140
612353413143320
71234634316300
oct214305727740
953564210743
1018842365920
117a9a02a444
12379a32ab40
131a138c7b61
14caa663600
157542ed380
hex46317afe0

18842365920 has 288 divisors, whose sum is σ = 69234365088. Its totient is φ = 4294950912.

The previous prime is 18842365903. The next prime is 18842365933. The reversal of 18842365920 is 2956324881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18842365920.

It is a congruent number.

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, 10747764 + ... + 10749516.

It is an arithmetic number, because the mean of its divisors is an integer number (240397101).

Almost surely, 218842365920 is an apocalyptic number.

18842365920 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 18842365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617182544).

18842365920 is an abundant number, since it is smaller than the sum of its proper divisors (50391999168).

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

18842365920 is a wasteful number, since it uses less digits than its factorization.

18842365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 18842365920 in words is "eighteen billion, eight hundred forty-two million, three hundred sixty-five thousand, nine hundred twenty".