Search a number
-
+
12656280288 = 253235732011
BaseRepresentation
bin10111100100101111…
…11000001011100000
31012200001000122122210
423302113320023200
5201410001432123
65451512002120
7625430415231
oct136227701340
935601018583
1012656280288
11540515a783
122552690340
131269107262
14880c55088
154e11a8e93
hex2f25f82e0

12656280288 has 48 divisors (see below), whose sum is σ = 34667208576. Its totient is φ = 4035335040.

The previous prime is 12656280277. The next prime is 12656280289. The reversal of 12656280288 is 88208265621.

It is a happy number.

12656280288 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12656280289) 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 7 ways as a sum of consecutive naturals, for example, 2863798 + ... + 2868213.

It is an arithmetic number, because the mean of its divisors is an integer number (722233512).

Almost surely, 212656280288 is an apocalyptic number.

It is an amenable number.

12656280288 is an abundant number, since it is smaller than the sum of its proper divisors (22010928288).

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

12656280288 is a wasteful number, since it uses less digits than its factorization.

12656280288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732047 (or 5732039 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 12656280288 in words is "twelve billion, six hundred fifty-six million, two hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5732011 11464022 17196033 22928044 34392066 45856088 68784132 91712176 131836253 137568264 183424352 263672506 275136528 395508759 527345012 550273056 791017518 1054690024 1582035036 2109380048 3164070072 4218760096 6328140144 12656280288