| Base | Representation |
|---|---|
| bin | 100000111001010001010000… |
| … | …0111001010001111100000000 |
| 3 | 1101221111012202011000122100000 |
| 4 | 1001302202200321101330000 |
| 5 | 300411121210334322133 |
| 6 | 2503215424305200000 |
| 7 | 114642364002210000 |
| oct | 10162424071217400 |
| 9 | 1357435664018300 |
| 10 | 289346056167168 |
| 11 | 84215a78519990 |
| 12 | 28551254930000 |
| 13 | c55b2a67951b0 |
| 14 | 51645d1040000 |
| 15 | 236b84cd7a413 |
| hex | 10728a0e51f00 |
289346056167168 has 8640 divisors, whose sum is σ = 1344422864977920. Its totient is φ = 60837035212800.
The previous prime is 289346056167121. The next prime is 289346056167173. The reversal of 289346056167168 is 861761650643982.
289346056167168 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 4 + 605 + 6 + 1 + 6 + 7 + 1 + 6 + 8 = 666.
It is a super-2 number, since 2×2893460561671682 (a number of 30 digits) contains 22 as substring.
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 = 289346056167096 and 289346056167105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 9333743747313 + ... + 9333743747343.
It is a 1-persistent number, because it is pandigital, but 2⋅289346056167168 = 578692112334336 is not.
Almost surely, 2289346056167168 is an apocalyptic number.
289346056167168 is a gapful number since it is divisible by the number (28) 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 289346056167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672211432488960).
289346056167168 is an abundant number, since it is smaller than the sum of its proper divisors (1055076808810752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289346056167168 is a wasteful number, since it uses less digits than its factorization.
289346056167168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 156 (or 109 counting only the distinct ones).
The product of its (nonzero) digits is 627056640, while the sum is 72.
The spelling of 289346056167168 in words is "two hundred eighty-nine trillion, three hundred forty-six billion, fifty-six million, one hundred sixty-seven thousand, one hundred sixty-eight".
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