| Base | Representation |
|---|---|
| bin | 10001110011010010001100… |
| … | …001101001011000100000000 |
| 3 | 101021012112210112012120100000 |
| 4 | 101303102030031023010000 |
| 5 | 40230210000112304122 |
| 6 | 434302221333200000 |
| 7 | 22330224236004300 |
| oct | 2163221415130400 |
| 9 | 337175715176300 |
| 10 | 78291016134912 |
| 11 | 22a45040624869 |
| 12 | 89453a6a90000 |
| 13 | 348ba71108559 |
| 14 | 154943c031600 |
| 15 | 90b7e05790ac |
| hex | 47348c34b100 |
78291016134912 has 1296 divisors, whose sum is σ = 278283039652800. Its totient is φ = 21882186547200.
The previous prime is 78291016134797. The next prime is 78291016134917. The reversal of 78291016134912 is 21943161019287.
78291016134912 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 1 + 0 + 1 + 613 + 4 + 9 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (1296).
It is a super-2 number, since 2×782910161349122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (78291016134917) 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 143 ways as a sum of consecutive naturals, for example, 41184121162 + ... + 41184123062.
Almost surely, 278291016134912 is an apocalyptic number.
78291016134912 is a gapful number since it is divisible by the number (72) 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 78291016134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139141519826400).
78291016134912 is an abundant number, since it is smaller than the sum of its proper divisors (199992023517888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78291016134912 is a wasteful number, since it uses less digits than its factorization.
78291016134912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2234 (or 2201 counting only the distinct ones).
The product of its (nonzero) digits is 1306368, while the sum is 54.
The spelling of 78291016134912 in words is "seventy-eight trillion, two hundred ninety-one billion, sixteen million, one hundred thirty-four thousand, nine hundred twelve".
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