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12329603712 = 273231675153
BaseRepresentation
bin10110111101110011…
…01101001010000000
31011211021022202122100
423132321231022000
5200222334304322
65355242110400
7614352621336
oct133671551200
934737282570
1012329603712
115257815838
1224811ab400
1312165290ca
1484d6d9b56
154c267adac
hex2dee6d280

12329603712 has 192 divisors, whose sum is σ = 37178069760. Its totient is φ = 3917168640.

The previous prime is 12329603683. The next prime is 12329603729. The reversal of 12329603712 is 21730692321.

12329603712 is a `hidden beast` number, since 1 + 2 + 32 + 9 + 603 + 7 + 12 = 666.

12329603712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

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 23 ways as a sum of consecutive naturals, for example, 2390128 + ... + 2395280.

It is an arithmetic number, because the mean of its divisors is an integer number (193635780).

Almost surely, 212329603712 is an apocalyptic number.

12329603712 is a gapful number since it is divisible by the number (12) 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 12329603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589034880).

12329603712 is an abundant number, since it is smaller than the sum of its proper divisors (24848466048).

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

12329603712 is a wasteful number, since it uses less digits than its factorization.

12329603712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12329603712 in words is "twelve billion, three hundred twenty-nine million, six hundred three thousand, seven hundred twelve".