| Base | Representation |
|---|---|
| bin | 11100110100101101111011… |
| … | …101101000000010111000000 |
| 3 | 121121211220110022221001002000 |
| 4 | 130310231323231000113000 |
| 5 | 113103431413443340320 |
| 6 | 1125340233102224000 |
| 7 | 35462455041512010 |
| oct | 3464557355002700 |
| 9 | 547756408831060 |
| 10 | 126768035136960 |
| 11 | 37435026aa9678 |
| 12 | 122745b2585000 |
| 13 | 5597236279b99 |
| 14 | 2343869c29c40 |
| 15 | e9c7da534c90 |
| hex | 734b7bb405c0 |
126768035136960 has 448 divisors, whose sum is σ = 511714737239040. Its totient is φ = 28940502528000.
The previous prime is 126768035136937. The next prime is 126768035136973. The reversal of 126768035136960 is 69631530867621.
126768035136960 is a `hidden beast` number, since 1 + 26 + 7 + 6 + 8 + 0 + 3 + 513 + 6 + 96 + 0 = 666.
126768035136960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48749710 + ... + 51284210.
Almost surely, 2126768035136960 is an apocalyptic number.
126768035136960 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 126768035136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255857368619520).
126768035136960 is an abundant number, since it is smaller than the sum of its proper divisors (384946702102080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126768035136960 is a wasteful number, since it uses less digits than its factorization.
126768035136960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2535361 (or 2535345 counting only the distinct ones).
The product of its (nonzero) digits is 58786560, while the sum is 63.
The spelling of 126768035136960 in words is "one hundred twenty-six trillion, seven hundred sixty-eight billion, thirty-five million, one hundred thirty-six thousand, nine hundred sixty".
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