Search a number
-
+
12782246161 = 172927793601
BaseRepresentation
bin10111110011110000…
…11001100100010001
31012222211001101100111
423321320121210101
5202134223334121
65512211521321
7631520204536
oct137170314421
935884041314
1012782246161
11546a276803
1225888b9241
13128923c789
14893884d8d
154ec28c2e1
hex2f9e19911

12782246161 has 16 divisors (see below), whose sum is σ = 14051532240. Its totient is φ = 11573452800.

The previous prime is 12782246153. The next prime is 12782246171. The reversal of 12782246161 is 16164228721.

12782246161 = 799442 + 799452.

12782246161 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 8 ways, for example, as 1083660561 + 11698585600 = 32919^2 + 108160^2 .

It is a cyclic number.

It is not a de Polignac number, because 12782246161 - 23 = 12782246153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12782246171) 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 15 ways as a sum of consecutive naturals, for example, 89761 + ... + 183361.

It is an arithmetic number, because the mean of its divisors is an integer number (878220765).

Almost surely, 212782246161 is an apocalyptic number.

12782246161 is the 79945-th centered square number.

It is an amenable number.

12782246161 is a deficient number, since it is larger than the sum of its proper divisors (1269286079).

12782246161 is a wasteful number, since it uses less digits than its factorization.

12782246161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93924.

The product of its digits is 64512, while the sum is 40.

The spelling of 12782246161 in words is "twelve billion, seven hundred eighty-two million, two hundred forty-six thousand, one hundred sixty-one".

Divisors: 1 17 29 277 493 4709 8033 93601 136561 1591217 2714429 25927477 46145293 440767109 751896833 12782246161