Search a number
-
+
9268803669841 = 37210727692
BaseRepresentation
bin1000011011100000111111…
…0000000000111101010001
31012211002101212100002020221
42012320033300000331101
52203330002214413331
631414010222033041
71644435411160012
oct206701760007521
935732355302227
109268803669841
112a53972041891
121058433718781
13523076818531
14240880967009
151111821ed711
hex86e0fc00f51

9268803669841 has 27 divisors (see below), whose sum is σ = 9628463959569. Its totient is φ = 8922394626048.

The previous prime is 9268803669823. The next prime is 9268803669847. The reversal of 9268803669841 is 1489663088629.

The square root of 9268803669841 is 3044471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1062847593025 + 8205956076816 = 1030945^2 + 2864604^2 .

It is not a de Polignac number, because 9268803669841 - 217 = 9268803538769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9268803669847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12053060305 + ... + 12053061073.

Almost surely, 29268803669841 is an apocalyptic number.

9268803669841 is the 3044471-st square number.

9268803669841 is the 1522236-th centered octagonal number.

It is an amenable number.

9268803669841 is a deficient number, since it is larger than the sum of its proper divisors (359660289728).

9268803669841 is an frugal number, since it uses more digits than its factorization.

9268803669841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 70.

The spelling of 9268803669841 in words is "nine trillion, two hundred sixty-eight billion, eight hundred three million, six hundred sixty-nine thousand, eight hundred forty-one".

Divisors: 1 37 107 769 1369 3959 11449 28453 82283 146483 423613 591361 1052761 3044471 8804281 15673681 21880357 63275627 112645427 325758397 809573209 2341198199 6770492089 12053060689 86624333363 250508207293 9268803669841