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12299019264 = 21035723307
BaseRepresentation
bin10110111010001010…
…00010010000000000
31011202010202220200000
423131011002100000
5200142022104024
65352230400000
7613531640010
oct133505022000
934663686600
1012299019264
115241526234
122472b00000
1312100ab0bc
14849617c40
154beb38cc9
hex2dd142400

12299019264 has 528 divisors, whose sum is σ = 44062706688. Its totient is φ = 3350274048.

The previous prime is 12299019263. The next prime is 12299019269. The reversal of 12299019264 is 46291099221.

It is not an unprimeable number, because it can be changed into a prime (12299019263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40061799 + ... + 40062105.

It is an arithmetic number, because the mean of its divisors is an integer number (83452096).

Almost surely, 212299019264 is an apocalyptic number.

12299019264 is a gapful number since it is divisible by the number (14) 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 12299019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22031353344).

12299019264 is an abundant number, since it is smaller than the sum of its proper divisors (31763687424).

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

12299019264 is an equidigital number, since it uses as much as digits as its factorization.

12299019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12299019264 in words is "twelve billion, two hundred ninety-nine million, nineteen thousand, two hundred sixty-four".