Base | Representation |
---|---|
bin | 110101011010100001… |
… | …100110011110000000 |
3 | 12111001001102011122000 |
4 | 311122201212132000 |
5 | 1414424423120413 |
6 | 42203040544000 |
7 | 4100161166145 |
oct | 653241463600 |
9 | 174031364560 |
10 | 57353332608 |
11 | 22361508740 |
12 | b147622000 |
13 | 5540327a00 |
14 | 2ac11843cc |
15 | 175a205073 |
hex | d5a866780 |
57353332608 has 768 divisors, whose sum is σ = 204280704000. Its totient is φ = 15699640320.
The previous prime is 57353332523. The next prime is 57353332609. The reversal of 57353332608 is 80623335375.
It is a happy number.
57353332608 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 3 + 3 + 32 + 608 = 666.
It is a super-2 number, since 2×573533326082 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57353332609) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507551560 + ... + 507551672.
It is an arithmetic number, because the mean of its divisors is an integer number (265990500).
Almost surely, 257353332608 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 57353332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102140352000).
57353332608 is an abundant number, since it is smaller than the sum of its proper divisors (146927371392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57353332608 is a wasteful number, since it uses less digits than its factorization.
57353332608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 252 (or 221 counting only the distinct ones).
The product of its (nonzero) digits is 1360800, while the sum is 45.
The spelling of 57353332608 in words is "fifty-seven billion, three hundred fifty-three million, three hundred thirty-two thousand, six hundred eight".
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