| Base | Representation |
|---|---|
| bin | 101001101011101010101… |
| … | …100001111111010000000 |
| 3 | 101010211110222000101111000 |
| 4 | 221223222230033322000 |
| 5 | 333412230213442133 |
| 6 | 10031514114052000 |
| 7 | 413642101421535 |
| oct | 51535254177200 |
| 9 | 11124428011430 |
| 10 | 2864385687168 |
| 11 | a04863056295 |
| 12 | 3a3178b7a000 |
| 13 | 17a15875c295 |
| 14 | 9c8cbd38d8c |
| 15 | 4e798a80413 |
| hex | 29aeab0fe80 |
2864385687168 has 256 divisors, whose sum is σ = 8631608832000. Its totient is φ = 934856064000.
The previous prime is 2864385687161. The next prime is 2864385687283. The reversal of 2864385687168 is 8617865834682.
2864385687168 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 385 + 6 + 87 + 168 = 666.
2864385687168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 2864385687096 and 2864385687105.
It is not an unprimeable number, because it can be changed into a prime (2864385687161) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51151921 + ... + 51207887.
It is an arithmetic number, because the mean of its divisors is an integer number (33717222000).
Almost surely, 22864385687168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2864385687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315804416000).
2864385687168 is an abundant number, since it is smaller than the sum of its proper divisors (5767223144832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2864385687168 is a wasteful number, since it uses less digits than its factorization.
2864385687168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56300 (or 56282 counting only the distinct ones).
The product of its digits is 743178240, while the sum is 72.
It can be divided in two parts, 2864385 and 687168, that added together give a palindrome (3551553).
The spelling of 2864385687168 in words is "two trillion, eight hundred sixty-four billion, three hundred eighty-five million, six hundred eighty-seven thousand, one hundred sixty-eight".
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