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18430384896 = 283472111797
BaseRepresentation
bin10001001010100010…
…010101101100000000
31202120110000120010000
4101022202111230000
5300221134304041
612244455040000
71221502454400
oct211242255400
952513016100
1018430384896
1178a8520a60
1236a4370000
1319794500c1
14c6ba60800
1572d06ebb6
hex44a895b00

18430384896 has 1080 divisors, whose sum is σ = 74603800656. Its totient is φ = 4459069440.

The previous prime is 18430384849. The next prime is 18430384897. The reversal of 18430384896 is 69848303481.

18430384896 is a `hidden beast` number, since 184 + 3 + 0 + 384 + 89 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18430384897) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 190003920 + ... + 190004016.

Almost surely, 218430384896 is an apocalyptic number.

18430384896 is a gapful number since it is divisible by the number (16) 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 18430384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37301900328).

18430384896 is an abundant number, since it is smaller than the sum of its proper divisors (56173415760).

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

18430384896 is a wasteful number, since it uses less digits than its factorization.

18430384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 18430384896 in words is "eighteen billion, four hundred thirty million, three hundred eighty-four thousand, eight hundred ninety-six".