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12343329504 = 2534114761151
BaseRepresentation
bin10110111111011100…
…00100001011100000
31011212020011002220000
423133232010023200
5200234343021004
65400452220000
7614610366252
oct133756041340
934766132800
1012343329504
115264540170
12248590a600
13121932378c
1485146dcd2
154c398cc39
hex2dfb842e0

12343329504 has 480 divisors, whose sum is σ = 41379351552. Its totient is φ = 3576960000.

The previous prime is 12343329503. The next prime is 12343329511. The reversal of 12343329504 is 40592334321.

12343329504 is a `hidden beast` number, since 1 + 234 + 332 + 95 + 0 + 4 = 666.

12343329504 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343329503) 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 79 ways as a sum of consecutive naturals, for example, 81743829 + ... + 81743979.

Almost surely, 212343329504 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 12343329504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20689675776).

12343329504 is an abundant number, since it is smaller than the sum of its proper divisors (29036022048).

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

12343329504 is a wasteful number, since it uses less digits than its factorization.

12343329504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 12343329504 in words is "twelve billion, three hundred forty-three million, three hundred twenty-nine thousand, five hundred four".