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12146684944 = 245924672
BaseRepresentation
bin10110100111111111…
…11011010000010000
31011100112010112021011
423103333323100100
5144334022404234
65325145340304
7610002055432
oct132377732020
934315115234
1012146684944
11517353a1a9
12242ba97694
1311b7672854
148332c2652
154b1597b64
hex2d3ffb410

12146684944 has 45 divisors (see below), whose sum is σ = 23991220447. Its totient is φ = 5957619872.

The previous prime is 12146684941. The next prime is 12146684981. The reversal of 12146684944 is 44948664121.

The square root of 12146684944 is 110212.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12146684941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26009799 + ... + 26010265.

Almost surely, 212146684944 is an apocalyptic number.

12146684944 is the 110212-nd square number.

It is an amenable number.

12146684944 is a deficient number, since it is larger than the sum of its proper divisors (11844535503).

12146684944 is an frugal number, since it uses more digits than its factorization.

12146684944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 528 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

Multiplying 12146684944 by its sum of digits (49), we get a square (595187562256 = 7714842).

The spelling of 12146684944 in words is "twelve billion, one hundred forty-six million, six hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 59 118 236 467 472 934 944 1868 3481 3736 6962 7472 13924 27553 27848 55106 55696 110212 218089 220424 436178 440848 872356 1625627 1744712 3251254 3489424 6502508 12867251 13005016 25734502 26010032 51469004 102938008 205876016 759167809 1518335618 3036671236 6073342472 12146684944