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18832020480 = 210345713499
BaseRepresentation
bin10001100010011110…
…011101010000000000
31210121102202202120000
4101202132131100000
5302031444123410
612352403320000
71234450350540
oct214236352000
953542682500
1018832020480
117a94203799
123796980000
131a11714cb0
14ca912d320
15753457dc0
hex46279d400

18832020480 has 880 divisors, whose sum is σ = 83222832000. Its totient is φ = 3965386752.

The previous prime is 18832020469. The next prime is 18832020491. The reversal of 18832020480 is 8402023881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18832020469) and next prime (18832020491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 37739271 + ... + 37739769.

It is an arithmetic number, because the mean of its divisors is an integer number (94571400).

Almost surely, 218832020480 is an apocalyptic number.

18832020480 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 18832020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41611416000).

18832020480 is an abundant number, since it is smaller than the sum of its proper divisors (64390811520).

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

18832020480 is a wasteful number, since it uses less digits than its factorization.

18832020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18832020480 in words is "eighteen billion, eight hundred thirty-two million, twenty thousand, four hundred eighty".