Base | Representation |
---|---|
bin | 101010110000110000… |
… | …0000111100001001000 |
3 | 22210000210120120022200 |
4 | 1111201200013201020 |
5 | 3001032002410233 |
6 | 110104114120200 |
7 | 6430431106602 |
oct | 1254140074110 |
9 | 283023516280 |
10 | 91830122568 |
11 | 35a4378a288 |
12 | 15969880060 |
13 | 887602b042 |
14 | 4631db6172 |
15 | 25c6d85313 |
hex | 1561807848 |
91830122568 has 108 divisors (see below), whose sum is σ = 252761333955. Its totient is φ = 30118915680.
The previous prime is 91830122563. The next prime is 91830122581. The reversal of 91830122568 is 86522103819.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
91830122568 is a `hidden beast` number, since 9 + 1 + 83 + 0 + 1 + 2 + 2 + 568 = 666.
It can be written as a sum of positive squares in only one way, i.e., 45915061284 + 45915061284 = 214278^2 + 214278^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=214278.
It is not an unprimeable number, because it can be changed into a prime (91830122563) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182564605 + ... + 182565107.
Almost surely, 291830122568 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 91830122568
91830122568 is an abundant number, since it is smaller than the sum of its proper divisors (160931211387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91830122568 is an equidigital number, since it uses as much as digits as its factorization.
91830122568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1160 (or 579 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 91830122568 in words is "ninety-one billion, eight hundred thirty million, one hundred twenty-two thousand, five hundred sixty-eight".
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