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810122664 = 233133178191
BaseRepresentation
bin110000010010010…
…111110110101000
32002110101111101010
4300102113312220
53124342411124
6212215423520
726034633441
oct6022276650
92073344333
10810122664
1138632516a
121a7384ba0
13cbab8530
14798422c8
154b1c6529
hex30497da8

810122664 has 64 divisors (see below), whose sum is σ = 2188247040. Its totient is φ = 248451840.

The previous prime is 810122653. The next prime is 810122681. The reversal of 810122664 is 466221018.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94809 + ... + 102999.

It is an arithmetic number, because the mean of its divisors is an integer number (34191360).

Almost surely, 2810122664 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 810122664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094123520).

810122664 is an abundant number, since it is smaller than the sum of its proper divisors (1378124376).

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

810122664 is a wasteful number, since it uses less digits than its factorization.

810122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 810122664 is about 28462.6538467515. The cubic root of 810122664 is about 932.2168044195.

The spelling of 810122664 in words is "eight hundred ten million, one hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 634 951 1268 1902 2536 3804 4121 7608 8191 8242 12363 16382 16484 24573 24726 32764 32968 49146 49452 65528 98292 98904 106483 196584 212966 319449 425932 638898 851864 1277796 2555592 2596547 5193094 7789641 10386188 15579282 20772376 31158564 33755111 62317128 67510222 101265333 135020444 202530666 270040888 405061332 810122664