Search a number
-
+
12822040989 = 332320647409
BaseRepresentation
bin10111111000100000…
…01101000110011101
31020002120221011121000
423330100031012131
5202224420302424
65520152500513
7632512356462
oct137420150635
936076834530
1012822040989
11548a78719a
12259a0aa739
131294563b04
14898c83669
155009ed3c9
hex2fc40d19d

12822040989 has 16 divisors (see below), whose sum is σ = 19821513600. Its totient is φ = 8176373568.

The previous prime is 12822040963. The next prime is 12822040993. The reversal of 12822040989 is 98904022821.

It is a happy number.

12822040989 is a `hidden beast` number, since 12 + 8 + 220 + 409 + 8 + 9 = 666.

12822040989 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 12822040989 - 29 = 12822040477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822040909) 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, 10323084 + ... + 10324325.

It is an arithmetic number, because the mean of its divisors is an integer number (1238844600).

Almost surely, 212822040989 is an apocalyptic number.

It is an amenable number.

12822040989 is a deficient number, since it is larger than the sum of its proper divisors (6999472611).

12822040989 is a wasteful number, since it uses less digits than its factorization.

12822040989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647441 (or 20647435 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12822040989 in words is "twelve billion, eight hundred twenty-two million, forty thousand, nine hundred eighty-nine".

Divisors: 1 3 9 23 27 69 207 621 20647409 61942227 185826681 474890407 557480043 1424671221 4274013663 12822040989