| Base | Representation |
|---|---|
| bin | 10110111001101101… |
| … | …10101010110000000 |
| 3 | 1011201212202202211120 |
| 4 | 23130312311112000 |
| 5 | 200140043441014 |
| 6 | 5352014512240 |
| 7 | 613455203100 |
| oct | 133466652600 |
| 9 | 34655682746 |
| 10 | 12295296384 |
| 11 | 523a413178 |
| 12 | 2471805680 |
| 13 | 120c3a6707 |
| 14 | 848d29200 |
| 15 | 4be650ba9 |
| hex | 2dcdb5580 |
12295296384 has 384 divisors, whose sum is σ = 39784504320. Its totient is φ = 3350753280.
The previous prime is 12295296379. The next prime is 12295296389. The reversal of 12295296384 is 48369259221.
12295296384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12295296379) and next prime (12295296389).
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12295296389) 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 47 ways as a sum of consecutive naturals, for example, 62412574 + ... + 62412770.
It is an arithmetic number, because the mean of its divisors is an integer number (103605480).
Almost surely, 212295296384 is an apocalyptic number.
12295296384 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 12295296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19892252160).
12295296384 is an abundant number, since it is smaller than the sum of its proper divisors (27489207936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12295296384 is a wasteful number, since it uses less digits than its factorization.
12295296384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 347 counting only the distinct ones).
The product of its digits is 1866240, while the sum is 51.
The spelling of 12295296384 in words is "twelve billion, two hundred ninety-five million, two hundred ninety-six thousand, three hundred eighty-four".
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