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11263789161 = 3217220812
BaseRepresentation
bin10100111110101111…
…11100100001101001
31002001222210202221100
422133113330201221
5141032012223121
65101410032013
7546061425312
oct123727744151
932058722840
1011263789161
11486012a569
122224278609
1310a6787501
1478bd39609
1545dce9026
hex29f5fc869

11263789161 has 27 divisors (see below), whose sum is σ = 17291578213. Its totient is φ = 7064079360.

The previous prime is 11263789129. The next prime is 11263789177. The reversal of 11263789161 is 16198736211.

The square root of 11263789161 is 106131.

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

11263789161 is a `hidden beast` number, since 1 + 1 + 2 + 637 + 8 + 9 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334341225 + 10929447936 = 18285^2 + 104544^2 .

It is not a de Polignac number, because 11263789161 - 25 = 11263789129 is a prime.

It is a super-2 number, since 2×112637891612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11263789661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5411641 + ... + 5413721.

Almost surely, 211263789161 is an apocalyptic number.

11263789161 is the 106131-st square number.

11263789161 is the 53066-th centered octagonal number.

It is an amenable number.

11263789161 is a deficient number, since it is larger than the sum of its proper divisors (6027789052).

11263789161 is an frugal number, since it uses more digits than its factorization.

11263789161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2101 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 11263789161 in words is "eleven billion, two hundred sixty-three million, seven hundred eighty-nine thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2081 2601 6243 18729 35377 106131 318393 601409 1804227 4330561 5412681 12991683 38975049 73619537 220858611 662575833 1251532129 3754596387 11263789161