| Base | Representation |
|---|---|
| bin | 11110111100100111110000… |
| … | …000100010001001001000000 |
| 3 | 122211220201121000101000222000 |
| 4 | 132330213300010101021000 |
| 5 | 120314440120022343233 |
| 6 | 1201250450013144000 |
| 7 | 40445265305524524 |
| oct | 3674476004211100 |
| 9 | 584821530330860 |
| 10 | 136107246293568 |
| 11 | 3a405839251350 |
| 12 | 133225b548b000 |
| 13 | 5ac3b20772c94 |
| 14 | 25878a955bd84 |
| 15 | 10b06dd9d5d13 |
| hex | 7bc9f0111240 |
136107246293568 has 896 divisors, whose sum is σ = 473612558284800. Its totient is φ = 37868529254400.
The previous prime is 136107246293563. The next prime is 136107246293569. The reversal of 136107246293568 is 865392642701631.
136107246293568 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 7 + 2 + 4 + 62 + 9 + 3 + 568 = 666.
It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (136107246293563) 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 127 ways as a sum of consecutive naturals, for example, 2497490896 + ... + 2497545392.
It is a 1-persistent number, because it is pandigital, but 2⋅136107246293568 = 272214492587136 is not.
Almost surely, 2136107246293568 is an apocalyptic number.
136107246293568 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 136107246293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236806279142400).
136107246293568 is an abundant number, since it is smaller than the sum of its proper divisors (337505311991232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136107246293568 is a wasteful number, since it uses less digits than its factorization.
136107246293568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54736 (or 54720 counting only the distinct ones).
The product of its (nonzero) digits is 78382080, while the sum is 63.
The spelling of 136107246293568 in words is "one hundred thirty-six trillion, one hundred seven billion, two hundred forty-six million, two hundred ninety-three thousand, five hundred sixty-eight".
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