| Base | Representation |
|---|---|
| bin | 1011000010010110111001… |
| … | …1101010111110101000000 |
| 3 | 1120222002220110221021001111 |
| 4 | 2300211232131113311000 |
| 5 | 3042310224231222421 |
| 6 | 41450445431213104 |
| 7 | 2361506656262350 |
| oct | 260455635276500 |
| 9 | 46862813837044 |
| 10 | 12135135804736 |
| 11 | 395953388805a |
| 12 | 143ba54517194 |
| 13 | 6a04525c1919 |
| 14 | 2dd4b51bab60 |
| 15 | 1609e1ab3ee1 |
| hex | b096e757d40 |
12135135804736 has 336 divisors, whose sum is σ = 30356152444800. Its totient is φ = 4696336060416.
The previous prime is 12135135804713. The next prime is 12135135804739. The reversal of 12135135804736 is 63740853153121.
12135135804736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 12135135804736.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12135135804739) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540574430 + ... + 1540582306.
It is an arithmetic number, because the mean of its divisors is an integer number (90345691800).
Almost surely, 212135135804736 is an apocalyptic number.
12135135804736 is a gapful number since it is divisible by the number (16) 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 12135135804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178076222400).
12135135804736 is an abundant number, since it is smaller than the sum of its proper divisors (18221016640064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12135135804736 is an equidigital number, since it uses as much as digits as its factorization.
12135135804736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8102 (or 8013 counting only the distinct ones).
The product of its (nonzero) digits is 1814400, while the sum is 49.
Adding to 12135135804736 its reverse (63740853153121), we get a palindrome (75875988957857).
The spelling of 12135135804736 in words is "twelve trillion, one hundred thirty-five billion, one hundred thirty-five million, eight hundred four thousand, seven hundred thirty-six".
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