Base | Representation |
---|---|
bin | 1101101011101111011… |
… | …1011001110000000000 |
3 | 211110210010200020112200 |
4 | 3122323313121300000 |
5 | 12322421001044033 |
6 | 255554434153200 |
7 | 22661334565416 |
oct | 3327367316000 |
9 | 743703606480 |
10 | 235080096768 |
11 | 9077364a110 |
12 | 39687a22800 |
13 | 1922500829a |
14 | b5410bb2b6 |
15 | 61ad077013 |
hex | 36bbdd9c00 |
235080096768 has 792 divisors, whose sum is σ = 811767490560. Its totient is φ = 64795852800.
The previous prime is 235080096767. The next prime is 235080096791. The reversal of 235080096768 is 867690080532.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (792).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235080096761) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1851024321 + ... + 1851024447.
Almost surely, 2235080096768 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 235080096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405883745280).
235080096768 is an abundant number, since it is smaller than the sum of its proper divisors (576687393792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235080096768 is a wasteful number, since it uses less digits than its factorization.
235080096768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 245 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 235080096768 in words is "two hundred thirty-five billion, eighty million, ninety-six thousand, seven hundred sixty-eight".
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