| Base | Representation |
|---|---|
| bin | 10000010111110101111101… |
| … | …100000010000110011000000 |
| 3 | 100102221211020211100220002000 |
| 4 | 100113311331200100303000 |
| 5 | 33414231302433424343 |
| 6 | 413051355454224000 |
| 7 | 21111231225634110 |
| oct | 2027657540206300 |
| 9 | 312854224326060 |
| 10 | 72007232326848 |
| 11 | 20a42106473135 |
| 12 | 80ab5984b5000 |
| 13 | 3124339739400 |
| 14 | 13ad250a6b040 |
| 15 | 84d1178ceed3 |
| hex | 417d7d810cc0 |
72007232326848 has 1344 divisors, whose sum is σ = 276775098163200. Its totient is φ = 17925085900800.
The previous prime is 72007232326811. The next prime is 72007232326849. The reversal of 72007232326848 is 84862323270027.
72007232326848 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 7 + 232 + 326 + 84 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 72007232326794 and 72007232326803.
It is not an unprimeable number, because it can be changed into a prime (72007232326849) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10991789173 + ... + 10991795723.
It is an arithmetic number, because the mean of its divisors is an integer number (205933852800).
Almost surely, 272007232326848 is an apocalyptic number.
72007232326848 is a gapful number since it is divisible by the number (78) 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 72007232326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138387549081600).
72007232326848 is an abundant number, since it is smaller than the sum of its proper divisors (204767865836352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72007232326848 is a wasteful number, since it uses less digits than its factorization.
72007232326848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6907 (or 6878 counting only the distinct ones).
The product of its (nonzero) digits is 10838016, while the sum is 54.
The spelling of 72007232326848 in words is "seventy-two trillion, seven billion, two hundred thirty-two million, three hundred twenty-six thousand, eight hundred forty-eight".
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