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18427848192 = 29331341261
BaseRepresentation
bin10001001010011000…
…101010011000000000
31202120021020200102000
4101022120222120000
5300220012120232
612244324424000
71221442060635
oct211230523000
952507220360
1018427848192
1178a7049106
1236a3548000
131978a725b0
14c6b5a018c
1572cc1d27c
hex44a62a600

18427848192 has 480 divisors, whose sum is σ = 61198478880. Its totient is φ = 5441126400.

The previous prime is 18427848191. The next prime is 18427848199. The reversal of 18427848192 is 29184872481.

18427848192 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 78 + 481 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18427848191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302095842 + ... + 302095902.

It is an arithmetic number, because the mean of its divisors is an integer number (127496831).

Almost surely, 218427848192 is an apocalyptic number.

18427848192 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 18427848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30599239440).

18427848192 is an abundant number, since it is smaller than the sum of its proper divisors (42770630688).

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

18427848192 is an equidigital number, since it uses as much as digits as its factorization.

18427848192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 120 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 18427848192 in words is "eighteen billion, four hundred twenty-seven million, eight hundred forty-eight thousand, one hundred ninety-two".