Search a number
-
+
12830518752 = 253133651237
BaseRepresentation
bin10111111001100001…
…00010110111100000
31020010011212212220020
423330300202313200
5202234103100002
65521054313440
7632644416132
oct137460426740
936104785806
1012830518752
115494547707
1225a0ab8880
13129624183c
1489a04d052
155016252bc
hex2fcc22de0

12830518752 has 24 divisors (see below), whose sum is σ = 33680111976. Its totient is φ = 4276839552.

The previous prime is 12830518741. The next prime is 12830518801. The reversal of 12830518752 is 25781503821.

12830518752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×128305187522 (a number of 21 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 66825523 + ... + 66825714.

It is an arithmetic number, because the mean of its divisors is an integer number (1403337999).

Almost surely, 212830518752 is an apocalyptic number.

12830518752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12830518752 is an abundant number, since it is smaller than the sum of its proper divisors (20849593224).

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

12830518752 is a wasteful number, since it uses less digits than its factorization.

12830518752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133651250 (or 133651242 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 12830518752 in words is "twelve billion, eight hundred thirty million, five hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 133651237 267302474 400953711 534604948 801907422 1069209896 1603814844 2138419792 3207629688 4276839584 6415259376 12830518752