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12243389760 = 26355783271
BaseRepresentation
bin10110110011100001…
…10100110101000000
31011121021002122100000
423121300310311000
5200033301433020
65342522200000
7612255044610
oct133160646500
934537078300
1012243389760
11521308aa38
122458353000
131201701534
14842096a40
154b9ceb090
hex2d9c34d40

12243389760 has 672 divisors, whose sum is σ = 50698432512. Its totient is φ = 2754570240.

The previous prime is 12243389759. The next prime is 12243389773. The reversal of 12243389760 is 6798334221.

12243389760 is a `hidden beast` number, since 1 + 224 + 338 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45178425 + ... + 45178695.

It is an arithmetic number, because the mean of its divisors is an integer number (75444096).

Almost surely, 212243389760 is an apocalyptic number.

12243389760 is a gapful number since it is divisible by the number (10) 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 12243389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25349216256).

12243389760 is an abundant number, since it is smaller than the sum of its proper divisors (38455042752).

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

12243389760 is an equidigital number, since it uses as much as digits as its factorization.

12243389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12243389760 in words is "twelve billion, two hundred forty-three million, three hundred eighty-nine thousand, seven hundred sixty".