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816788868 = 2237173118451
BaseRepresentation
bin110000101011110…
…011010110000100
32002220221011200120
4300223303112010
53133044220433
6213014341540
726145406440
oct6053632604
92086834616
10816788868
1138a068625
121a965a8b0
131002b082c
147a699820
154ba917b3
hex30af3584

816788868 has 96 divisors (see below), whose sum is σ = 2380750848. Its totient is φ = 212544000.

The previous prime is 816788849. The next prime is 816788909. The reversal of 816788868 is 868887618.

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, 35043 + ... + 53493.

It is an arithmetic number, because the mean of its divisors is an integer number (24799488).

Almost surely, 2816788868 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 816788868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190375424).

816788868 is an abundant number, since it is smaller than the sum of its proper divisors (1563961980).

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

816788868 is a wasteful number, since it uses less digits than its factorization.

816788868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18513 (or 18511 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 60.

The square root of 816788868 is about 28579.5183304408. The cubic root of 816788868 is about 934.7667802700.

The spelling of 816788868 in words is "eight hundred sixteen million, seven hundred eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1302 1428 1581 2108 2604 3162 3689 6324 7378 11067 14756 18451 22134 36902 44268 55353 73804 110706 129157 221412 258314 313667 387471 516628 571981 627334 774942 941001 1143962 1254668 1549884 1715943 1882002 2195669 2287924 3431886 3764004 4003867 4391338 6587007 6863772 8007734 8782676 9723677 12011601 13174014 16015468 19447354 24023202 26348028 29171031 38894708 48046404 58342062 68065739 116684124 136131478 204197217 272262956 408394434 816788868