Search a number
-
+
11113060968 = 2332262158889
BaseRepresentation
bin10100101100110001…
…11101101001101000
31001200111011222201200
422112120331221220
5140224420422333
65034423244200
7542251313442
oct122630755150
931614158650
1011113060968
114793040209
1221a18a9660
131081492029
14775d01492
15450973c13
hex29663da68

11113060968 has 48 divisors (see below), whose sum is σ = 30109868100. Its totient is φ = 3702877440.

The previous prime is 11113060961. The next prime is 11113060979. The reversal of 11113060968 is 86906031111.

It is a happy number.

11113060968 is a `hidden beast` number, since 1 + 1 + 11 + 30 + 609 + 6 + 8 = 666.

11113060968 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 11104522884 + 8538084 = 105378^2 + 2922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11113060961) 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 11 ways as a sum of consecutive naturals, for example, 159268 + ... + 218156.

Almost surely, 211113060968 is an apocalyptic number.

11113060968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11113060968 is an abundant number, since it is smaller than the sum of its proper divisors (18996807132).

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

11113060968 is a wasteful number, since it uses less digits than its factorization.

11113060968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61522 (or 61515 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11113060968 in words is "eleven billion, one hundred thirteen million, sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2621 5242 7863 10484 15726 20968 23589 31452 47178 58889 62904 94356 117778 176667 188712 235556 353334 471112 530001 706668 1060002 1413336 2120004 4240008 154348069 308696138 463044207 617392276 926088414 1234784552 1389132621 1852176828 2778265242 3704353656 5556530484 11113060968