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12383072680 = 235111737101443
BaseRepresentation
bin10111000100001011…
…01011000110101000
31011221222221021021111
423202011223012220
5200330031311210
65404432120104
7615602244466
oct134205530650
934858837244
1012383072680
115284a15870
122497096034
13122462a454
14856857836
154c71dd88a
hex2e216b1a8

12383072680 has 256 divisors, whose sum is σ = 33455151360. Its totient is φ = 4073472000.

The previous prime is 12383072599. The next prime is 12383072707. The reversal of 12383072680 is 8627038321.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27952539 + ... + 27952981.

It is an arithmetic number, because the mean of its divisors is an integer number (130684185).

Almost surely, 212383072680 is an apocalyptic number.

12383072680 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 12383072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727575680).

12383072680 is an abundant number, since it is smaller than the sum of its proper divisors (21072078680).

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

12383072680 is a wasteful number, since it uses less digits than its factorization.

12383072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12383072680 in words is "twelve billion, three hundred eighty-three million, seventy-two thousand, six hundred eighty".