| Base | Representation |
|---|---|
| bin | 10110011111101001… |
| … | …11000110010100000 |
| 3 | 1011011122102000211100 |
| 4 | 23033310320302200 |
| 5 | 144213112314100 |
| 6 | 5314205114400 |
| 7 | 605162051406 |
| oct | 131764706240 |
| 9 | 34148360740 |
| 10 | 12076682400 |
| 11 | 5137a77262 |
| 12 | 2410558a00 |
| 13 | 11a6002b23 |
| 14 | 827c9d476 |
| 15 | 4aa36b400 |
| hex | 2cfd38ca0 |
12076682400 has 432 divisors, whose sum is σ = 44730137088. Its totient is φ = 3062016000.
The previous prime is 12076682393. The next prime is 12076682407. The reversal of 12076682400 is 428667021.
12076682400 is a `hidden beast` number, since 120 + 76 + 68 + 2 + 400 = 666.
12076682400 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 (12076682393) and next prime (12076682407).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (12076682407) 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 71 ways as a sum of consecutive naturals, for example, 13614757 + ... + 13615643.
It is an arithmetic number, because the mean of its divisors is an integer number (103541984).
Almost surely, 212076682400 is an apocalyptic number.
12076682400 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 12076682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365068544).
12076682400 is an abundant number, since it is smaller than the sum of its proper divisors (32653454688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12076682400 is a wasteful number, since it uses less digits than its factorization.
12076682400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1005 (or 989 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 12076682400 in words is "twelve billion, seventy-six million, six hundred eighty-two thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •