Base | Representation |
---|---|
bin | 10101001011101101111000… |
… | …010011101111000100000100 |
3 | 110012212101222002011122210000 |
4 | 111023231320103233010010 |
5 | 44202400141414310324 |
6 | 530051004352201300 |
7 | 25423613405266344 |
oct | 2513557023570404 |
9 | 405771862148700 |
10 | 93164154056964 |
11 | 277597721a9521 |
12 | a547a06839230 |
13 | 3cca45a598303 |
14 | 19012520a6d24 |
15 | ab86305b49c9 |
hex | 54bb784ef104 |
93164154056964 has 135 divisors (see below), whose sum is σ = 258726876959397. Its totient is φ = 29227043293056.
The previous prime is 93164154056957. The next prime is 93164154056993. The reversal of 93164154056964 is 46965045146139.
It is a happy number.
The square root of 93164154056964 is 9652158.
It is a perfect power (a square), and thus also a powerful number.
93164154056964 is a `hidden beast` number, since 9 + 3 + 1 + 6 + 4 + 1 + 5 + 4 + 0 + 569 + 64 = 666.
93164154056964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 72532645892100 + 20631508164864 = 8516610^2 + 4542192^2 .
It is a super-2 number, since 2×931641540569642 (a number of 29 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2953544577 + ... + 2953576119.
Almost surely, 293164154056964 is an apocalyptic number.
93164154056964 is the 9652158-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93164154056964
93164154056964 is an abundant number, since it is smaller than the sum of its proper divisors (165562722902433).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93164154056964 is an frugal number, since it uses more digits than its factorization.
93164154056964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63136 (or 31565 counting only the distinct ones).
The product of its (nonzero) digits is 83980800, while the sum is 63.
The spelling of 93164154056964 in words is "ninety-three trillion, one hundred sixty-four billion, one hundred fifty-four million, fifty-six thousand, nine hundred sixty-four".
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