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12304893024 = 2532292101503
BaseRepresentation
bin10110111010110110…
…11100010001100000
31011202112211022221200
423131123130101200
5200200023034044
65353000321200
7613632602454
oct133533342140
934675738850
1012304893024
115244878286
122474a73200
1312113867b8
1484a306664
154c03e9369
hex2dd6dc460

12304893024 has 216 divisors, whose sum is σ = 36671845392. Its totient is φ = 3913190400.

The previous prime is 12304892989. The next prime is 12304893047. The reversal of 12304893024 is 42039840321.

12304893024 is a `hidden beast` number, since 123 + 0 + 489 + 30 + 24 = 666.

12304893024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12304893024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24462757 + ... + 24463259.

It is an arithmetic number, because the mean of its divisors is an integer number (169777062).

Almost surely, 212304893024 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 12304893024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335922696).

12304893024 is an abundant number, since it is smaller than the sum of its proper divisors (24366952368).

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

12304893024 is a wasteful number, since it uses less digits than its factorization.

12304893024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12304893024 in words is "twelve billion, three hundred four million, eight hundred ninety-three thousand, twenty-four".