| Base | Representation |
|---|---|
| bin | 111001011010010000100011… |
| … | …001111101000000000000000 |
| 3 | 1020010000002220021021110121000 |
| 4 | 321122100203033220000000 |
| 5 | 231043321411421231213 |
| 6 | 2253001424135132000 |
| 7 | 104120012052223500 |
| oct | 7132204317500000 |
| 9 | 1203002807243530 |
| 10 | 252493128695808 |
| 11 | 734a7809737120 |
| 12 | 2439aa39b14000 |
| 13 | aab6ccc93b000 |
| 14 | 464ca384c5a00 |
| 15 | 1e2cdd4467c73 |
| hex | e5a4233e8000 |
252493128695808 has 3072 divisors, whose sum is σ = 1032717936096000. Its totient is φ = 60286618828800.
The previous prime is 252493128695779. The next prime is 252493128695831. The reversal of 252493128695808 is 808596821394252.
It is a happy number.
252493128695808 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 9 + 31 + 2 + 8 + 6 + 9 + 580 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a super-2 number, since 2×2524931286958082 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 1047689330568 + ... + 1047689330808.
Almost surely, 2252493128695808 is an apocalyptic number.
252493128695808 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 252493128695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516358968048000).
252493128695808 is an abundant number, since it is smaller than the sum of its proper divisors (780224807400192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252493128695808 is an equidigital number, since it uses as much as digits as its factorization.
252493128695808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 277 counting only the distinct ones).
The product of its (nonzero) digits is 597196800, while the sum is 72.
The spelling of 252493128695808 in words is "two hundred fifty-two trillion, four hundred ninety-three billion, one hundred twenty-eight million, six hundred ninety-five thousand, eight hundred eight".
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