Search a number
-
+
809714523296 = 25725311428209
BaseRepresentation
bin10111100100001101011…
…11110001110010100000
32212102000101201122200202
423302012233301302200
5101231243404221141
61415551104204332
7112333323613250
oct13620657616240
92772011648622
10809714523296
11292441814948
12110b179096a8
135b481782703
142b294615960
15160e10ae49b
hexbc86bf1ca0

809714523296 has 48 divisors (see below), whose sum is σ = 1822578770880. Its totient is φ = 346883159040.

The previous prime is 809714523251. The next prime is 809714523353. The reversal of 809714523296 is 692325417908.

809714523296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147161 + ... + 1281048.

It is an arithmetic number, because the mean of its divisors is an integer number (37970391060).

It is a 1-persistent number, because it is pandigital, but 2⋅809714523296 = 1619429046592 is not.

Almost surely, 2809714523296 is an apocalyptic number.

It is an amenable number.

809714523296 is an abundant number, since it is smaller than the sum of its proper divisors (1012864247584).

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

809714523296 is a wasteful number, since it uses less digits than its factorization.

809714523296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430757 (or 1430749 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 809714523296 in words is "eight hundred nine billion, seven hundred fourteen million, five hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2531 5062 10124 17717 20248 35434 40496 70868 80992 141736 283472 566944 1428209 2856418 5712836 9997463 11425672 19994926 22851344 39989852 45702688 79979704 159959408 319918816 3614796979 7229593958 14459187916 25303578853 28918375832 50607157706 57836751664 101214315412 115673503328 202428630824 404857261648 809714523296