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18934039680 = 2735172983241
BaseRepresentation
bin10001101000100011…
…101000010010000000
31210212112201212120220
4101220203220102000
5302234103232210
612410450103040
71240126452603
oct215043502200
953775655526
1018934039680
118036854286
123804b7aa80
131a298b489a
14cb88c833a
1575c3aac70
hex4688e8480

18934039680 has 512 divisors, whose sum is σ = 67179974400. Its totient is φ = 4514119680.

The previous prime is 18934039679. The next prime is 18934039681. The reversal of 18934039680 is 8693043981.

It is an interprime number because it is at equal distance from previous prime (18934039679) and next prime (18934039681).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (18934039681) 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 63 ways as a sum of consecutive naturals, for example, 78564360 + ... + 78564600.

Almost surely, 218934039680 is an apocalyptic number.

18934039680 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 18934039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589987200).

18934039680 is an abundant number, since it is smaller than the sum of its proper divisors (48245934720).

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

18934039680 is a wasteful number, since it uses less digits than its factorization.

18934039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 18934039680 in words is "eighteen billion, nine hundred thirty-four million, thirty-nine thousand, six hundred eighty".