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811316168 = 2313233789103
BaseRepresentation
bin110000010110111…
…011001111001000
32002112122010112222
4300112323033020
53130144104133
6212301153212
726051034155
oct6026731710
92075563488
10811316168
11386a6a933
121a785b808
13cc115850
1479a7322c
154b35ee98
hex305bb3c8

811316168 has 128 divisors (see below), whose sum is σ = 1792627200. Its totient is φ = 341231616.

The previous prime is 811316153. The next prime is 811316201. The reversal of 811316168 is 861613118.

811316168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7876805 + ... + 7876907.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2811316168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811316168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

811316168 is an abundant number, since it is smaller than the sum of its proper divisors (981311032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811316168 is a wasteful number, since it uses less digits than its factorization.

811316168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 6912, while the sum is 35.

The square root of 811316168 is about 28483.6122709182. The cubic root of 811316168 is about 932.6743723919.

The spelling of 811316168 in words is "eight hundred eleven million, three hundred sixteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 89 92 103 104 148 178 184 206 296 299 356 412 481 598 712 824 851 962 1157 1196 1339 1702 1924 2047 2314 2369 2392 2678 3293 3404 3811 3848 4094 4628 4738 5356 6586 6808 7622 8188 9167 9256 9476 10712 11063 13172 15244 16376 18334 18952 22126 26344 26611 30488 30797 36668 42809 44252 49543 53222 61594 73336 75739 85618 87653 88504 99086 106444 119171 123188 151478 171236 175306 198172 210841 212888 238342 246376 302956 339179 342472 350612 396344 421682 476684 605912 678358 701224 843364 953368 984607 1139489 1356716 1686728 1969214 2278978 2713432 2740933 3938428 4409327 4557956 5481866 7801117 7876856 8818654 9115912 10963732 15602234 17637308 21927464 31204468 35274616 62408936 101414521 202829042 405658084 811316168