| Base | Representation |
|---|---|
| bin | 1110101101110111001… |
| … | …1000000000000000000 |
| 3 | 220011121002211000000000 |
| 4 | 3223131303000000000 |
| 5 | 13120243241042443 |
| 6 | 312052000000000 |
| 7 | 24160226025600 |
| oct | 3533563000000 |
| 9 | 804532730000 |
| 10 | 252829237248 |
| 11 | 98251571055 |
| 12 | 41000000000 |
| 13 | 1aac3284b83 |
| 14 | c346486c00 |
| 15 | 689b3cb8d3 |
| hex | 3addcc0000 |
252829237248 has 570 divisors, whose sum is σ = 882305815116. Its totient is φ = 72236924928.
The previous prime is 252829237237. The next prime is 252829237361. The reversal of 252829237248 is 842732928252.
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.
252829237248 is a `hidden beast` number, since 2 + 5 + 282 + 92 + 37 + 248 = 666.
It is a super-2 number, since 2×2528292372482 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (7741440) is a multiple of the sum of its prime divisors (12).
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 252829237194 and 252829237203.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 36118462461 + ... + 36118462467.
Almost surely, 2252829237248 is an apocalyptic number.
252829237248 is a gapful number since it is divisible by the number (28) 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 252829237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441152907558).
252829237248 is an abundant number, since it is smaller than the sum of its proper divisors (629476577868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252829237248 is an frugal number, since it uses more digits than its factorization.
252829237248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 12 counting only the distinct ones).
The product of its digits is 7741440, while the sum is 54.
The spelling of 252829237248 in words is "two hundred fifty-two billion, eight hundred twenty-nine million, two hundred thirty-seven thousand, two hundred forty-eight".
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