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18383075640 = 23325293179719
BaseRepresentation
bin10001000111101101…
…110111100100111000
31202110011000000000100
4101013231313210320
5300122031410030
612240045035400
71220356364466
oct210755674470
952404000010
1018383075640
1178838488a6
123690555b60
13196c6c7667
14c65667836
15728d27360
hex447b77938

18383075640 has 384 divisors, whose sum is σ = 64696320000. Its totient is φ = 4516162560.

The previous prime is 18383075603. The next prime is 18383075653. The reversal of 18383075640 is 4657038381.

18383075640 is a `hidden beast` number, since 1 + 8 + 3 + 83 + 0 + 7 + 564 + 0 = 666.

It is a super-2 number, since 2×183830756402 (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25567201 + ... + 25567919.

It is an arithmetic number, because the mean of its divisors is an integer number (168480000).

Almost surely, 218383075640 is an apocalyptic number.

18383075640 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 18383075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160000).

18383075640 is an abundant number, since it is smaller than the sum of its proper divisors (46313244360).

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

18383075640 is a wasteful number, since it uses less digits than its factorization.

18383075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18383075640 in words is "eighteen billion, three hundred eighty-three million, seventy-five thousand, six hundred forty".