Search a number
-
+
11982497913 = 3635574621
BaseRepresentation
bin10110010100011011…
…00110100001111001
31010221002011222000000
423022031212201321
5144020004413123
65301002303213
7602636360151
oct131215464171
933832158000
1011982497913
115099898041
1223a4ab7b09
13118c647369
14819583761
154a1e64b43
hex2ca366879

11982497913 has 28 divisors (see below), whose sum is σ = 17974468068. Its totient is φ = 7984357920.

The previous prime is 11982497903. The next prime is 11982497959. The reversal of 11982497913 is 31979428911.

11982497913 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 2826304569 + 9156193344 = 53163^2 + 95688^2 .

It is not a de Polignac number, because 11982497913 - 213 = 11982489721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11982497913.

It is not an unprimeable number, because it can be changed into a prime (11982497903) 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 27 ways as a sum of consecutive naturals, for example, 2590743 + ... + 2595363.

Almost surely, 211982497913 is an apocalyptic number.

It is an amenable number.

11982497913 is a deficient number, since it is larger than the sum of its proper divisors (5991970155).

11982497913 is an frugal number, since it uses more digits than its factorization.

11982497913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8181 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 11982497913 in words is "eleven billion, nine hundred eighty-two million, four hundred ninety-seven thousand, nine hundred thirteen".

Divisors: 1 3 9 27 81 243 729 3557 4621 10671 13863 32013 41589 96039 124767 288117 374301 864351 1122903 2593053 3368709 16436897 49310691 147932073 443796219 1331388657 3994165971 11982497913