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12714483808 = 251329532467
BaseRepresentation
bin10111101011101011…
…11010000001100000
31012211002112200212201
423311311322001200
5202014401440213
65501351302544
7630035220625
oct136565720140
935732480781
1012714483808
115434aa3964
12256a07aa54
1312781a5600
1488888634c
154e63546dd
hex2f5d7a060

12714483808 has 72 divisors (see below), whose sum is σ = 27144707688. Its totient is φ = 5859689472.

The previous prime is 12714483797. The next prime is 12714483823. The reversal of 12714483808 is 80838441721.

12714483808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5152591 + ... + 5155057.

It is an arithmetic number, because the mean of its divisors is an integer number (377009829).

Almost surely, 212714483808 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 12714483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572353844).

12714483808 is an abundant number, since it is smaller than the sum of its proper divisors (14430223880).

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

12714483808 is a wasteful number, since it uses less digits than its factorization.

12714483808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 12714483808 in words is "twelve billion, seven hundred fourteen million, four hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 953 1352 1906 2467 2704 3812 4934 5408 7624 9868 12389 15248 19736 24778 30496 32071 39472 49556 64142 78944 99112 128284 161057 198224 256568 322114 396448 416923 513136 644228 833846 1026272 1288456 1667692 2351051 2576912 3335384 4702102 5153824 6670768 9404204 13341536 18808408 30563663 37616816 61127326 75233632 122254652 244509304 397327619 489018608 794655238 978037216 1589310476 3178620952 6357241904 12714483808