Base | Representation |
---|---|
bin | 110101011101000010… |
… | …111100011111100000 |
3 | 12111011000000000000000 |
4 | 311131002330133200 |
5 | 1420021240044000 |
6 | 42211151300000 |
7 | 4101213534264 |
oct | 653502743740 |
9 | 174130000000 |
10 | 57395628000 |
11 | 22383376907 |
12 | b15981a600 |
13 | 5549016279 |
14 | 2ac6a340a4 |
15 | 175dcac000 |
hex | d5d0bc7e0 |
57395628000 has 384 divisors, whose sum is σ = 211531582080. Its totient is φ = 15305500800.
The previous prime is 57395627999. The next prime is 57395628007. The reversal of 57395628000 is 82659375.
It is a happy number.
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.
57395628000 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 562 + 80 + 0 + 0 = 666.
It is a super-2 number, since 2×573956280002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57395628007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11479125598 + ... + 11479125602.
It is an arithmetic number, because the mean of its divisors is an integer number (550863495).
Almost surely, 257395628000 is an apocalyptic number.
57395628000 is a gapful number since it is divisible by the number (50) 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 57395628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105765791040).
57395628000 is an abundant number, since it is smaller than the sum of its proper divisors (154135954080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57395628000 is an frugal number, since it uses more digits than its factorization.
57395628000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 45.
The spelling of 57395628000 in words is "fifty-seven billion, three hundred ninety-five million, six hundred twenty-eight thousand".
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