Search a number
-
+
12828057769 = 61401524429
BaseRepresentation
bin10111111001001110…
…01010000010101001
31020010000020212001201
423330213022002221
5202232440322034
65520525444201
7632614456222
oct137447120251
936100225051
1012828057769
11549311673a
1225a0110661
13129588c637
148999ac249
155012db014
hex2fc9ca0a9

12828057769 has 8 divisors (see below), whose sum is σ = 13070893320. Its totient is φ = 12586272000.

The previous prime is 12828057709. The next prime is 12828057811. The reversal of 12828057769 is 96775082821.

12828057769 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 4 ways, for example, as 750047769 + 12078010000 = 27387^2 + 109900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12828057769 - 29 = 12828057257 is a prime.

It is a super-2 number, since 2×128280577692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12828057709) 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, 237754 + ... + 286675.

It is an arithmetic number, because the mean of its divisors is an integer number (1633861665).

Almost surely, 212828057769 is an apocalyptic number.

It is an amenable number.

12828057769 is a deficient number, since it is larger than the sum of its proper divisors (242835551).

12828057769 is an equidigital number, since it uses as much as digits as its factorization.

12828057769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524891.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 12828057769 in words is "twelve billion, eight hundred twenty-eight million, fifty-seven thousand, seven hundred sixty-nine".

Divisors: 1 61 401 24461 524429 31990169 210296029 12828057769