Base | Representation |
---|---|
bin | 110101000111010110… |
… | …001100110110100000 |
3 | 12110012121222021220100 |
4 | 311013112030312200 |
5 | 1413300040430432 |
6 | 42111104342400 |
7 | 4056203256135 |
oct | 650726146640 |
9 | 173177867810 |
10 | 57031576992 |
11 | 22206924a05 |
12 | b077914a00 |
13 | 54bb780680 |
14 | 2a9054a58c |
15 | 173bd4a07c |
hex | d4758cda0 |
57031576992 has 144 divisors (see below), whose sum is σ = 178721551008. Its totient is φ = 17140032000.
The previous prime is 57031576991. The next prime is 57031577077. The reversal of 57031576992 is 29967513075.
57031576992 is a `hidden beast` number, since 570 + 3 + 1 + 5 + 7 + 69 + 9 + 2 = 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 (57031576991) 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, 16134 + ... + 338117.
It is an arithmetic number, because the mean of its divisors is an integer number (1241121882).
Almost surely, 257031576992 is an apocalyptic number.
57031576992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 57031576992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89360775504).
57031576992 is an abundant number, since it is smaller than the sum of its proper divisors (121689974016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57031576992 is a wasteful number, since it uses less digits than its factorization.
57031576992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354323 (or 354312 counting only the distinct ones).
The product of its (nonzero) digits is 3572100, while the sum is 54.
The spelling of 57031576992 in words is "fifty-seven billion, thirty-one million, five hundred seventy-six thousand, nine hundred ninety-two".
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