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12234714624 = 293211221943
BaseRepresentation
bin10110110010011111…
…01110111000000000
31011120122202220021200
423121033232320000
5200024041331444
65342012221200
7612121233636
oct133117567000
934518686250
1012234714624
1152091a5200
12245546a800
1311cc984a12
14840c79356
154b9185969
hex2d93eee00

12234714624 has 180 divisors, whose sum is σ = 38813823048. Its totient is φ = 3707320320.

The previous prime is 12234714623. The next prime is 12234714629. The reversal of 12234714624 is 42641743221.

12234714624 is a `hidden beast` number, since 1 + 2 + 23 + 4 + 7 + 1 + 4 + 624 = 666.

12234714624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122347146242 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234714623) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 546597 + ... + 568539.

Almost surely, 212234714624 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 12234714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19406911524).

12234714624 is an abundant number, since it is smaller than the sum of its proper divisors (26579108424).

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

12234714624 is a wasteful number, since it uses less digits than its factorization.

12234714624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21989 (or 21959 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 12234714624 in words is "twelve billion, two hundred thirty-four million, seven hundred fourteen thousand, six hundred twenty-four".