| Base | Representation |
|---|---|
| bin | 1011110001101010110111… |
| … | …0001111111010000000000 |
| 3 | 1200211210220200120210000000 |
| 4 | 2330122231301333100000 |
| 5 | 3144114343412231030 |
| 6 | 43312112120000000 |
| 7 | 2504313124342422 |
| oct | 274325561772000 |
| 9 | 50753820523000 |
| 10 | 12947946992640 |
| 11 | 4142214585950 |
| 12 | 1551495300000 |
| 13 | 72bca87a214a |
| 14 | 32a980b9c812 |
| 15 | 176c1495d860 |
| hex | bc6adc7f400 |
12947946992640 has 1408 divisors, whose sum is σ = 52472288378880. Its totient is φ = 3036745728000.
The previous prime is 12947946992627. The next prime is 12947946992653. The reversal of 12947946992640 is 4629964974921.
12947946992640 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 79 + 469 + 92 + 6 + 4 + 0 = 666.
12947946992640 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 (12947946992627) and next prime (12947946992653).
It is a tau number, because it is divible by the number of its divisors (1408).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3818325345 + ... + 3818328735.
Almost surely, 212947946992640 is an apocalyptic number.
12947946992640 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 12947946992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236144189440).
12947946992640 is an abundant number, since it is smaller than the sum of its proper divisors (39524341386240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12947946992640 is an equidigital number, since it uses as much as digits as its factorization.
12947946992640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3479 (or 3443 counting only the distinct ones).
The product of its (nonzero) digits is 423263232, while the sum is 72.
The spelling of 12947946992640 in words is "twelve trillion, nine hundred forty-seven billion, nine hundred forty-six million, nine hundred ninety-two thousand, six hundred forty".
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