| Base | Representation |
|---|---|
| bin | 1110101010110010101… |
| … | …1001111101010000000 |
| 3 | 220002110200002112112200 |
| 4 | 3222230223033222000 |
| 5 | 13112101302330030 |
| 6 | 311434120153200 |
| 7 | 24130631116350 |
| oct | 3525453175200 |
| 9 | 802420075480 |
| 10 | 252005120640 |
| 11 | 97969359049 |
| 12 | 40a10008800 |
| 13 | 1a9c1609c00 |
| 14 | c2a8c40b60 |
| 15 | 684dd8dd60 |
| hex | 3aacacfa80 |
252005120640 has 1152 divisors, whose sum is σ = 1112577223680. Its totient is φ = 51412008960.
The previous prime is 252005120621. The next prime is 252005120669. The reversal of 252005120640 is 46021500252.
252005120640 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 0 + 5 + 12 + 0 + 640 = 666.
252005120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211235884 + ... + 211237076.
It is an arithmetic number, because the mean of its divisors is an integer number (965778840).
Almost surely, 2252005120640 is an apocalyptic number.
252005120640 is a gapful number since it is divisible by the number (20) 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 252005120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556288611840).
252005120640 is an abundant number, since it is smaller than the sum of its proper divisors (860572103040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252005120640 is a wasteful number, since it uses less digits than its factorization.
252005120640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1282 (or 1254 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
Adding to 252005120640 its reverse (46021500252), we get a palindrome (298026620892).
The spelling of 252005120640 in words is "two hundred fifty-two billion, five million, one hundred twenty thousand, six hundred forty".
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