| Base | Representation |
|---|---|
| bin | 1110101110101111101… |
| … | …0101010000000000000 |
| 3 | 220012012121120011100000 |
| 4 | 3223223322222000000 |
| 5 | 13121234412002222 |
| 6 | 312131301200000 |
| 7 | 24166133400420 |
| oct | 3535372520000 |
| 9 | 805177504300 |
| 10 | 253066125312 |
| 11 | 98363259610 |
| 12 | 41067400000 |
| 13 | 1ab30386420 |
| 14 | c369b0c480 |
| 15 | 68b20c09ac |
| hex | 3aebeaa000 |
253066125312 has 1344 divisors, whose sum is σ = 1025897693184. Its totient is φ = 60197437440.
The previous prime is 253066125293. The next prime is 253066125313. The reversal of 253066125312 is 213521660352.
253066125312 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 6 + 612 + 5 + 31 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (253066125313) 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 95 ways as a sum of consecutive naturals, for example, 1992646593 + ... + 1992646719.
It is an arithmetic number, because the mean of its divisors is an integer number (763316736).
Almost surely, 2253066125312 is an apocalyptic number.
253066125312 is a gapful number since it is divisible by the number (22) 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 253066125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512948846592).
253066125312 is an abundant number, since it is smaller than the sum of its proper divisors (772831567872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253066125312 is a wasteful number, since it uses less digits than its factorization.
253066125312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 163 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
Adding to 253066125312 its reverse (213521660352), we get a palindrome (466587785664).
The spelling of 253066125312 in words is "two hundred fifty-three billion, sixty-six million, one hundred twenty-five thousand, three hundred twelve".
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