Search a number
-
+
11290519368 = 233417423641
BaseRepresentation
bin10101000001111011…
…11010011101001000
31002010212002210220000
422200331322131020
5141110333104433
65104203003000
7546534555042
oct124075723510
932125083800
1011290519368
114874227347
122231209460
1310ac1860bb
147916d6a92
15461329113
hex2a0f7a748

11290519368 has 40 divisors (see below), whose sum is σ = 31623910230. Its totient is φ = 3763506240.

The previous prime is 11290519363. The next prime is 11290519447. The reversal of 11290519368 is 86391509211.

11290519368 is a `hidden beast` number, since 1 + 12 + 90 + 519 + 36 + 8 = 666.

11290519368 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 only one way, i.e., 11205916164 + 84603204 = 105858^2 + 9198^2 .

It is not an unprimeable number, because it can be changed into a prime (11290519363) 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 9 ways as a sum of consecutive naturals, for example, 8711173 + ... + 8712468.

Almost surely, 211290519368 is an apocalyptic number.

11290519368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11290519368 is an abundant number, since it is smaller than the sum of its proper divisors (20333390862).

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

11290519368 is a wasteful number, since it uses less digits than its factorization.

11290519368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423659 (or 17423646 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11290519368 in words is "eleven billion, two hundred ninety million, five hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17423641 34847282 52270923 69694564 104541846 139389128 156812769 209083692 313625538 418167384 470438307 627251076 940876614 1254502152 1411314921 1881753228 2822629842 3763506456 5645259684 11290519368