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12644019440649 = 3211852812
BaseRepresentation
bin1011011111111110101001…
…0010011000110000001001
31122202202102110021102210100
42313333222102120300021
53124124422434100044
642520325441440013
72443333405644132
oct267775222306011
948682373242710
1012644019440649
114035331388713
1215025b4640009
1370943106999c
14319d8c1a4c89
1516dd7758a869
hexb7fea498c09

12644019440649 has 9 divisors (see below), whose sum is σ = 18263599045159. Its totient is φ = 8429339182080.

The previous prime is 12644019440641. The next prime is 12644019440653. The reversal of 12644019440649 is 94604491044621.

It is a happy number.

The square root of 12644019440649 is 3555843.

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

12644019440649 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 0 + 194 + 406 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1189314570249 + 11454704870400 = 1090557^2 + 3384480^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12644019440649 - 23 = 12644019440641 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12644019440595 and 12644019440604.

It is not an unprimeable number, because it can be changed into a prime (12644019440641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10074889 + ... + 11260169.

Almost surely, 212644019440649 is an apocalyptic number.

12644019440649 is the 3555843-rd square number.

12644019440649 is the 1777922-nd centered octagonal number.

It is an amenable number.

12644019440649 is a deficient number, since it is larger than the sum of its proper divisors (5619579604510).

12644019440649 is an frugal number, since it uses more digits than its factorization.

12644019440649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370568 (or 1185284 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12644019440649 in words is "twelve trillion, six hundred forty-four billion, nineteen million, four hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 1185281 3555843 10667529 1404891048961 4214673146883 12644019440649