Search a number
-
+
12165434052 = 2231915307781
BaseRepresentation
bin10110101010001110…
…11100101011000100
31011101211102002012120
423111013130223010
5144403322342202
65331055245540
7610320324522
oct132507345304
934354362176
1012165434052
115183085732
1224362198b0
1311bb5087b5
148359a3312
154b304d0bc
hex2d51dcac4

12165434052 has 24 divisors (see below), whose sum is σ = 28534636032. Its totient is φ = 4033912800.

The previous prime is 12165434051. The next prime is 12165434087. The reversal of 12165434052 is 25043456121.

12165434052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121654340522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12165434051) 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 7 ways as a sum of consecutive naturals, for example, 2651599 + ... + 2656182.

It is an arithmetic number, because the mean of its divisors is an integer number (1188943168).

Almost surely, 212165434052 is an apocalyptic number.

12165434052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12165434052 is an abundant number, since it is smaller than the sum of its proper divisors (16369201980).

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

12165434052 is a wasteful number, since it uses less digits than its factorization.

12165434052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307979 (or 5307977 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 12165434052 in words is "twelve billion, one hundred sixty-five million, four hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 191 382 573 764 1146 2292 5307781 10615562 15923343 21231124 31846686 63693372 1013786171 2027572342 3041358513 4055144684 6082717026 12165434052