| Base | Representation |
|---|---|
| bin | 110101101010101111… |
| … | …001111100000000000 |
| 3 | 12111202000020210010000 |
| 4 | 311222233033200000 |
| 5 | 1421004042002000 |
| 6 | 42250035040000 |
| 7 | 4110003225240 |
| oct | 655257174000 |
| 9 | 174660223100 |
| 10 | 57625344000 |
| 11 | 22491005944 |
| 12 | b202740000 |
| 13 | 55847a61b3 |
| 14 | 2b0934db20 |
| 15 | 1774036000 |
| hex | d6abcf800 |
57625344000 has 960 divisors, whose sum is σ = 246114348480. Its totient is φ = 13138329600.
The previous prime is 57625343969. The next prime is 57625344001. The reversal of 57625344000 is 44352675.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×576253440002 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57625344001) 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 79 ways as a sum of consecutive naturals, for example, 145151802 + ... + 145152198.
It is an arithmetic number, because the mean of its divisors is an integer number (256369113).
Almost surely, 257625344000 is an apocalyptic number.
57625344000 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 57625344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123057174240).
57625344000 is an abundant number, since it is smaller than the sum of its proper divisors (188489004480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57625344000 is an equidigital number, since it uses as much as digits as its factorization.
57625344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 453 (or 414 counting only the distinct ones).
The product of its (nonzero) digits is 100800, while the sum is 36.
Adding to 57625344000 its reverse (44352675), we get a palindrome (57669696675).
The spelling of 57625344000 in words is "fifty-seven billion, six hundred twenty-five million, three hundred forty-four thousand".
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