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2393068561 = 132532712
BaseRepresentation
bin1000111010100011…
…0101010000010001
320011202222110220221
42032220311100101
514400111143221
61033243433041
7113205514162
oct21650652021
96152873827
102393068561
111018908914
12569525781
132c1a2ca00
14189b77769
15e0157541
hex8ea35411

2393068561 has 27 divisors (see below), whose sum is σ = 2678848977. Its totient is φ = 2136781920.

The previous prime is 2393068523. The next prime is 2393068571. The reversal of 2393068561 is 1658603932.

The square root of 2393068561 is 48919.

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 62110161 + 2330958400 = 7881^2 + 48280^2 .

It is not a de Polignac number, because 2393068561 - 29 = 2393068049 is a prime.

It is a super-2 number, since 2×23930685612 = 11453554275293221442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2393068501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33705156 + ... + 33705226.

Almost surely, 22393068561 is an apocalyptic number.

2393068561 is the 48919-th square number.

2393068561 is the 24460-th centered octagonal number.

It is an amenable number.

2393068561 is a deficient number, since it is larger than the sum of its proper divisors (285780416).

2393068561 is an frugal number, since it uses more digits than its factorization.

2393068561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The cubic root of 2393068561 is about 1337.5757313045.

The spelling of 2393068561 in words is "two billion, three hundred ninety-three million, sixty-eight thousand, five hundred sixty-one".

Divisors: 1 13 53 71 169 689 923 2809 3763 5041 8957 11999 36517 48919 65533 199439 267173 474721 635947 851929 2592707 3473249 14160169 33705191 45152237 184082197 2393068561