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18796216320 = 2153357607
BaseRepresentation
bin10001100000010101…
…111000000000000000
31210111221101201111000
4101200111320000000
5301443312410240
612345044052000
71233534126330
oct214025700000
953457351430
1018796216320
117a75a79582
123786994000
131a0718a1bb
14ca448d0c0
15750234430
hex460578000

18796216320 has 512 divisors, whose sum is σ = 76502937600. Its totient is φ = 4289200128.

The previous prime is 18796216211. The next prime is 18796216321. The reversal of 18796216320 is 2361269781.

18796216320 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 6 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18796216321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965457 + ... + 30966063.

It is an arithmetic number, because the mean of its divisors is an integer number (149419800).

Almost surely, 218796216320 is an apocalyptic number.

18796216320 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 18796216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38251468800).

18796216320 is an abundant number, since it is smaller than the sum of its proper divisors (57706721280).

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

18796216320 is an frugal number, since it uses more digits than its factorization.

18796216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 18796216320 in words is "eighteen billion, seven hundred ninety-six million, two hundred sixteen thousand, three hundred twenty".