Search a number
-
+
12532320144 = 2432113770177
BaseRepresentation
bin10111010101111110…
…00000011110010000
31012100101202211022100
423222333000132100
5201131233221034
65431323040400
7622363651341
oct135277003620
935311684270
1012532320144
115351193683
122519070100
131249524966
1486c5c80c8
154d5370099
hex2eafc0790

12532320144 has 60 divisors (see below), whose sum is σ = 35383517676. Its totient is φ = 4140466176.

The previous prime is 12532320139. The next prime is 12532320173. The reversal of 12532320144 is 44102323521.

12532320144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 341510400 + 12190809744 = 18480^2 + 110412^2 .

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 11 ways as a sum of consecutive naturals, for example, 368817 + ... + 401360.

Almost surely, 212532320144 is an apocalyptic number.

It is an amenable number.

12532320144 is an abundant number, since it is smaller than the sum of its proper divisors (22851197532).

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

12532320144 is a wasteful number, since it uses less digits than its factorization.

12532320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770304 (or 770295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12532320144 its reverse (44102323521), we get a palindrome (56634643665).

The spelling of 12532320144 in words is "twelve billion, five hundred thirty-two million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 770177 1540354 2310531 3080708 4621062 6161416 6931593 9242124 12322832 13863186 18484248 27726372 36968496 55452744 87030001 110905488 174060002 261090003 348120004 522180006 696240008 783270009 1044360012 1392480016 1566540018 2088720024 3133080036 4177440048 6266160072 12532320144