Base | Representation |
---|---|
bin | 1000011010100010000… |
… | …00101010001110000000 |
3 | 1000122021101221010121100 |
4 | 10031101000222032000 |
5 | 14214110203430011 |
6 | 340453142254400 |
7 | 26613465623646 |
oct | 4152100521600 |
9 | 1018241833540 |
10 | 289121936256 |
11 | 101685882a7a |
12 | 4804a427400 |
13 | 213582585ba |
14 | ddca533196 |
15 | 77c26a8d56 |
hex | 435102a380 |
289121936256 has 96 divisors (see below), whose sum is σ = 832467069720. Its totient is φ = 96317383680.
The previous prime is 289121936239. The next prime is 289121936261. The reversal of 289121936256 is 652639121982.
289121936256 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 2 + 1 + 9 + 3 + 625 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912066 + ... + 2057726.
Almost surely, 2289121936256 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 289121936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416233534860).
289121936256 is an abundant number, since it is smaller than the sum of its proper divisors (543345133464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289121936256 is a wasteful number, since it uses less digits than its factorization.
289121936256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147404 (or 147389 counting only the distinct ones).
The product of its digits is 2799360, while the sum is 54.
The spelling of 289121936256 in words is "two hundred eighty-nine billion, one hundred twenty-one million, nine hundred thirty-six thousand, two hundred fifty-six".
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