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18834990720 = 27357132343109
BaseRepresentation
bin10001100010101001…
…110010011010000000
31210121122100122221220
4101202221302122000
5302033224200340
612352551115040
71234514531250
oct214251623200
953548318856
1018834990720
117a95952337
123797972a80
131a12214c30
14ca96a3960
15753842ed0
hex462a72680

18834990720 has 1024 divisors, whose sum is σ = 79620710400. Its totient is φ = 3678732288.

The previous prime is 18834990653. The next prime is 18834990737. The reversal of 18834990720 is 2709943881.

It is a super-2 number, since 2×188349907202 (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 172798026 + ... + 172798134.

It is an arithmetic number, because the mean of its divisors is an integer number (77754600).

Almost surely, 218834990720 is an apocalyptic number.

18834990720 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 18834990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39810355200).

18834990720 is an abundant number, since it is smaller than the sum of its proper divisors (60785719680).

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

18834990720 is a wasteful number, since it uses less digits than its factorization.

18834990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 18834990720 in words is "eighteen billion, eight hundred thirty-four million, nine hundred ninety thousand, seven hundred twenty".