Search a number
-
+
12355505055 = 32517136111867
BaseRepresentation
bin10111000000111001…
…00000101110011111
31011220002001200121100
423200130200232133
5200301002130210
65402005204143
7615116026425
oct134034405637
934802050540
1012355505055
1152703a6903
122489a00653
13121b9c764a
14852d1d115
154c4a955c0
hex2e0720b9f

12355505055 has 48 divisors (see below), whose sum is σ = 22694559264. Its totient is φ = 6196899840.

The previous prime is 12355505047. The next prime is 12355505059. The reversal of 12355505055 is 55050555321.

12355505055 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 550 + 50 + 55 = 666.

12355505055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12355505055 - 23 = 12355505047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355505059) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1035232 + ... + 1047098.

It is an arithmetic number, because the mean of its divisors is an integer number (472803318).

Almost surely, 212355505055 is an apocalyptic number.

12355505055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12355505055 is a deficient number, since it is larger than the sum of its proper divisors (10339054209).

12355505055 is a wasteful number, since it uses less digits than its factorization.

12355505055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 12355505055 in words is "twelve billion, three hundred fifty-five million, five hundred five thousand, fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1361 4083 6805 11867 12249 20415 23137 35601 59335 61245 69411 106803 115685 178005 201739 208233 347055 534015 605217 1008695 1041165 1815651 3026085 9078255 16150987 48452961 80754935 145358883 242264805 274566779 726794415 823700337 1372833895 2471101011 4118501685 12355505055