| Base | Representation |
|---|---|
| bin | 1110101011101101100… |
| … | …1111110100001011100 |
| 3 | 220010002220010010101100 |
| 4 | 3222323121332201130 |
| 5 | 13113103034033002 |
| 6 | 311514425113100 |
| 7 | 24140021523600 |
| oct | 3527331764134 |
| 9 | 803086103340 |
| 10 | 252252252252 |
| 11 | 97a85902750 |
| 12 | 40a7a928790 |
| 13 | 1aa30886b30 |
| 14 | c2cd9b1500 |
| 15 | 686590811c |
| hex | 3abb67e85c |
252252252252 has 432 divisors, whose sum is σ = 880133645664. Its totient is φ = 59875200000.
The previous prime is 252252252223. The next prime is 252252252253.
252252252252 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×2522522522523 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
252252252252 is a modest number, since divided by 252252252 gives 252 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (252252252253) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25472502 + ... + 25482402.
It is an arithmetic number, because the mean of its divisors is an integer number (2037346402).
Almost surely, 2252252252252 is an apocalyptic number.
252252252252 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 252252252252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440066822832).
252252252252 is an abundant number, since it is smaller than the sum of its proper divisors (627881393412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252252252252 is a wasteful number, since it uses less digits than its factorization.
252252252252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10050 (or 10038 counting only the distinct ones).
The product of its digits is 160000, while the sum is 36.
252252252252 divided by its sum of digits (36) gives a palindrome (7007007007).
The spelling of 252252252252 in words is "two hundred fifty-two billion, two hundred fifty-two million, two hundred fifty-two thousand, two hundred fifty-two".
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