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12389590224 = 2435111979193
BaseRepresentation
bin10111000100111101…
…00010010011010000
31011222110012101200000
423202132202103100
5200333213341344
65405223530000
7616011531204
oct134236422320
934873171600
1012389590224
115288667570
1224992b9900
131225a9cb9b
14857672b04
154c7a79a69
hex2e27a24d0

12389590224 has 480 divisors, whose sum is σ = 42030643200. Its totient is φ = 3493601280.

The previous prime is 12389590217. The next prime is 12389590229. The reversal of 12389590224 is 42209598321.

12389590224 is a `hidden beast` number, since 1 + 2 + 38 + 9 + 590 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12389590224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12389590229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64194672 + ... + 64194864.

It is an arithmetic number, because the mean of its divisors is an integer number (87563840).

Almost surely, 212389590224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12389590224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015321600).

12389590224 is an abundant number, since it is smaller than the sum of its proper divisors (29641052976).

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

12389590224 is a wasteful number, since it uses less digits than its factorization.

12389590224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12389590224 in words is "twelve billion, three hundred eighty-nine million, five hundred ninety thousand, two hundred twenty-four".