| Base | Representation |
|---|---|
| bin | 1011001001011001011110… |
| … | …0100011100011100000000 |
| 3 | 1121101200002121110010000000 |
| 4 | 2302112113210130130000 |
| 5 | 3101300430124440033 |
| 6 | 42022211220000000 |
| 7 | 2403321126200310 |
| oct | 262262744343400 |
| 9 | 47350077403000 |
| 10 | 12256084608768 |
| 11 | 39a585a278740 |
| 12 | 145b389b30000 |
| 13 | 6ab98922c5a0 |
| 14 | 3052aa545440 |
| 15 | 163c1eed6a13 |
| hex | b259791c700 |
12256084608768 has 2304 divisors, whose sum is σ = 51901091020800. Its totient is φ = 2781444096000.
The previous prime is 12256084608767. The next prime is 12256084608847. The reversal of 12256084608768 is 86780648065221.
12256084608768 is a `hidden beast` number, since 1 + 2 + 2 + 560 + 8 + 4 + 6 + 0 + 8 + 7 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12256084608763) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10648204993 + ... + 10648206143.
It is an arithmetic number, because the mean of its divisors is an integer number (22526515200).
Almost surely, 212256084608768 is an apocalyptic number.
12256084608768 is a gapful number since it is divisible by the number (18) 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 12256084608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25950545510400).
12256084608768 is an abundant number, since it is smaller than the sum of its proper divisors (39645006412032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12256084608768 is a wasteful number, since it uses less digits than its factorization.
12256084608768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1238 (or 1206 counting only the distinct ones).
The product of its (nonzero) digits is 61931520, while the sum is 63.
The spelling of 12256084608768 in words is "twelve trillion, two hundred fifty-six billion, eighty-four million, six hundred eight thousand, seven hundred sixty-eight".
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