Search a number
-
+
11059589088 = 2532172258903
BaseRepresentation
bin10100100110011001…
…11110111111100000
31001112202120100002200
422103030332333200
5140122223322323
65025233213200
7541031645652
oct122314767740
931482510080
1011059589088
114765938a79
122187a01200
13107338c572
1476cb826d2
1544ae10443
hex29333efe0

11059589088 has 72 divisors (see below), whose sum is σ = 33300762768. Its totient is φ = 3469673472.

The previous prime is 11059589087. The next prime is 11059589111. The reversal of 11059589088 is 88098595011.

11059589088 is a `hidden beast` number, since 1 + 1 + 0 + 59 + 589 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11059589087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124556 + ... + 1134347.

It is an arithmetic number, because the mean of its divisors is an integer number (462510594).

Almost surely, 211059589088 is an apocalyptic number.

11059589088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11059589088 is an abundant number, since it is smaller than the sum of its proper divisors (22241173680).

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

11059589088 is a wasteful number, since it uses less digits than its factorization.

11059589088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258936 (or 2258925 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 11059589088 in words is "eleven billion, fifty-nine million, five hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 2258903 4517806 6776709 9035612 13553418 18071224 20330127 27106836 36142448 38401351 40660254 54213672 72284896 76802702 81320508 108427344 115204053 153605404 162641016 216854688 230408106 307210808 325282032 345612159 460816212 614421616 650564064 691224318 921632424 1228843232 1382448636 1843264848 2764897272 3686529696 5529794544 11059589088