Search a number
-
+
12965916601 = 116591788649
BaseRepresentation
bin11000001001101010…
…00010111110111001
31020110121122210211101
430010311002332321
5203023233312401
65542332331401
7636210321061
oct140465027671
936417583741
1012965916601
115553a16060
12261a313b61
1312b82ca201
148b00163a1
1550d46d101
hex304d42fb9

12965916601 has 8 divisors (see below), whose sum is σ = 14166108000. Its totient is φ = 11769303840.

The previous prime is 12965916589. The next prime is 12965916683. The reversal of 12965916601 is 10661956921.

It is a happy number.

12965916601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12965916601 - 219 = 12965392313 is a prime.

It is a super-2 number, since 2×129659166012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12965926601) 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, 887076 + ... + 901573.

It is an arithmetic number, because the mean of its divisors is an integer number (1770763500).

Almost surely, 212965916601 is an apocalyptic number.

12965916601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12965916601 is a deficient number, since it is larger than the sum of its proper divisors (1200191399).

12965916601 is a wasteful number, since it uses less digits than its factorization.

12965916601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789319.

The product of its (nonzero) digits is 174960, while the sum is 46.

It can be divided in two parts, 12965 and 916601, that added together give a triangular number (929566 = T1363).

The spelling of 12965916601 in words is "twelve billion, nine hundred sixty-five million, nine hundred sixteen thousand, six hundred one".

Divisors: 1 11 659 7249 1788649 19675139 1178719691 12965916601