Base | Representation |
---|---|
bin | 1101101101001001011… |
… | …0000111011111000000 |
3 | 211111202102100110122000 |
4 | 3123102112013133000 |
5 | 12324204023402133 |
6 | 300100105544000 |
7 | 23003564402313 |
oct | 3332226073700 |
9 | 744672313560 |
10 | 235457247168 |
11 | 90947528860 |
12 | 397721a5000 |
13 | 192851a93c0 |
14 | b57921497a |
15 | 61d1225413 |
hex | 36d25877c0 |
235457247168 has 896 divisors, whose sum is σ = 898856663040. Its totient is φ = 59268464640.
The previous prime is 235457247143. The next prime is 235457247203. The reversal of 235457247168 is 861742754532.
235457247168 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 572 + 4 + 7 + 1 + 68 = 666.
235457247168 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 (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96616446 + ... + 96618882.
It is an arithmetic number, because the mean of its divisors is an integer number (1003188240).
Almost surely, 2235457247168 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 235457247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449428331520).
235457247168 is an abundant number, since it is smaller than the sum of its proper divisors (663399415872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235457247168 is a wasteful number, since it uses less digits than its factorization.
235457247168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2522 (or 2506 counting only the distinct ones).
The product of its digits is 11289600, while the sum is 54.
The spelling of 235457247168 in words is "two hundred thirty-five billion, four hundred fifty-seven million, two hundred forty-seven thousand, one hundred sixty-eight".
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