Search a number
-
+
11169312768 = 21232614967
BaseRepresentation
bin10100110011011111…
…00011000000000000
31001211102000212200200
422121233203000000
5140333321002033
65044153045200
7543533410035
oct123157430000
931742025620
1011169312768
114811870aa9
1221b86b6800
131090028c13
1477d58538c
15455886013
hex299be3000

11169312768 has 156 divisors (see below), whose sum is σ = 32798467728. Its totient is φ = 3661332480.

The previous prime is 11169312761. The next prime is 11169312769. The reversal of 11169312768 is 86721396111.

It is not an unprimeable number, because it can be changed into a prime (11169312761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2246221 + ... + 2251187.

It is an arithmetic number, because the mean of its divisors is an integer number (210246588).

Almost surely, 211169312768 is an apocalyptic number.

11169312768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11169312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399233864).

11169312768 is an abundant number, since it is smaller than the sum of its proper divisors (21629154960).

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

11169312768 is an equidigital number, since it uses as much as digits as its factorization.

11169312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5033 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 11169312768 in words is "eleven billion, one hundred sixty-nine million, three hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2048 2196 2304 2928 3072 3904 4096 4392 4608 4967 5856 6144 7808 8784 9216 9934 11712 12288 14901 15616 17568 18432 19868 23424 29802 31232 35136 36864 39736 44703 46848 59604 62464 70272 79472 89406 93696 119208 124928 140544 158944 178812 187392 238416 249856 281088 302987 317888 357624 374784 476832 562176 605974 635776 715248 749568 908961 953664 1124352 1211948 1271552 1430496 1817922 1907328 2248704 2423896 2543104 2726883 2860992 3635844 3814656 4847792 5086208 5453766 5721984 7271688 7629312 9695584 10172416 10907532 11443968 14543376 15258624 19391168 20344832 21815064 22887936 29086752 30517248 38782336 43630128 45775872 58173504 61034496 77564672 87260256 91551744 116347008 155129344 174520512 183103488 232694016 310258688 349041024 465388032 620517376 698082048 930776064 1241034752 1396164096 1861552128 2792328192 3723104256 5584656384 11169312768