Search a number
-
+
12053018016 = 2532133219289
BaseRepresentation
bin10110011100110101…
…00111010110100000
31011002222212202101200
423032122213112200
5144141033034031
65312002001200
7604453651134
oct131632472640
934088782350
1012053018016
115125683916
122404646200
1311a1138830
14824a9d3c4
154a82448e6
hex2ce6a75a0

12053018016 has 72 divisors (see below), whose sum is σ = 36912379140. Its totient is φ = 3708619776.

The previous prime is 12053017993. The next prime is 12053018027. The reversal of 12053018016 is 61081035021.

12053018016 is a `hidden beast` number, since 120 + 530 + 1 + 8 + 0 + 1 + 6 = 666.

12053018016 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 8548851600 + 3504166416 = 92460^2 + 59196^2 .

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

It is an unprimeable number.

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, 1605901 + ... + 1613388.

Almost surely, 212053018016 is an apocalyptic number.

12053018016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12053018016 is an abundant number, since it is smaller than the sum of its proper divisors (24859361124).

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

12053018016 is a wasteful number, since it uses less digits than its factorization.

12053018016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219318 (or 3219307 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12053018016 in words is "twelve billion, fifty-three million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3219289 6438578 9657867 12877156 19315734 25754312 28973601 38631468 41850757 51508624 57947202 77262936 83701514 103017248 115894404 125552271 154525872 167403028 231788808 251104542 309051744 334806056 376656813 463577616 502209084 669612112 753313626 927155232 1004418168 1339224224 1506627252 2008836336 3013254504 4017672672 6026509008 12053018016