Base | Representation |
---|---|
bin | 101110000110111010… |
… | …1011000111000100000 |
3 | 100110120121201121020100 |
4 | 1130031311120320200 |
5 | 3110241141102133 |
6 | 113253143542400 |
7 | 10103501030664 |
oct | 1341565307040 |
9 | 313517647210 |
10 | 99016347168 |
11 | 38aa1168182 |
12 | 1723445aa00 |
13 | 944caa714b |
14 | 4b1456a8a4 |
15 | 2897bd6e13 |
hex | 170dd58e20 |
99016347168 has 144 divisors (see below), whose sum is σ = 282980355840. Its totient is φ = 32841510912.
The previous prime is 99016347161. The next prime is 99016347181. The reversal of 99016347168 is 86174361099.
99016347168 is a `hidden beast` number, since 9 + 9 + 0 + 163 + 471 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (99016347161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69582105 + ... + 69583527.
It is an arithmetic number, because the mean of its divisors is an integer number (1965141360).
Almost surely, 299016347168 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 99016347168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141490177920).
99016347168 is an abundant number, since it is smaller than the sum of its proper divisors (183964008672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99016347168 is a wasteful number, since it uses less digits than its factorization.
99016347168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).
The product of its (nonzero) digits is 1959552, while the sum is 54.
The spelling of 99016347168 in words is "ninety-nine billion, sixteen million, three hundred forty-seven thousand, one hundred sixty-eight".
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