Search a number
-
+
11286992288 = 2511213224233
BaseRepresentation
bin10101000001100000…
…11101010110100000
31002010121110121122102
422200300131112200
5141103432223123
65103555225532
7546462565025
oct124060352640
932117417572
1011286992288
114872238400
12222bba82a8
1310ab51c880
1479105954c
15460d7e028
hex2a0c1d5a0

11286992288 has 72 divisors (see below), whose sum is σ = 26303993604. Its totient is φ = 4735779840.

The previous prime is 11286992281. The next prime is 11286992323. The reversal of 11286992288 is 88229968211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8974151824 + 2312840464 = 94732^2 + 48092^2 .

It is not an unprimeable number, because it can be changed into a prime (11286992281) 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, 61781 + ... + 162452.

Almost surely, 211286992288 is an apocalyptic number.

It is an amenable number.

11286992288 is an abundant number, since it is smaller than the sum of its proper divisors (15017001316).

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

11286992288 is a wasteful number, since it uses less digits than its factorization.

11286992288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224278 (or 224259 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 56.

The spelling of 11286992288 in words is "eleven billion, two hundred eighty-six million, nine hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 50336 224233 448466 896932 1793864 2466563 2915029 3587728 4933126 5830058 7175456 9866252 11660116 19732504 23320232 27132193 32065319 39465008 46640464 54264386 64130638 78930016 93280928 108528772 128261276 217057544 256522552 352718509 434115088 513045104 705437018 868230176 1026090208 1410874036 2821748072 5643496144 11286992288