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11084510089 = 12728292
BaseRepresentation
bin10100101001011000…
…00011001110001001
31001121111110110021201
422110230003032021
5140200113310324
65031523304201
7541453531642
oct122454031611
931544413251
1011084510089
114778a0a544
12219421b061
1310785a6813
147721cc6c9
1544d1d4444
hex294b03389

11084510089 has 9 divisors (see below), whose sum is σ = 11185970247. Its totient is φ = 10983964824.

The previous prime is 11084510081. The next prime is 11084510117. The reversal of 11084510089 is 98001548011.

The square root of 11084510089 is 105283.

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

It can be written as a sum of positive squares in only one way, i.e., 6381293689 + 4703216400 = 79883^2 + 68580^2 .

It is not a de Polignac number, because 11084510089 - 23 = 11084510081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11084510081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13370527 + ... + 13371355.

It is an arithmetic number, because the mean of its divisors is an integer number (1242885583).

Almost surely, 211084510089 is an apocalyptic number.

11084510089 is the 105283-rd square number.

11084510089 is the 52642-nd centered octagonal number.

It is an amenable number.

11084510089 is a deficient number, since it is larger than the sum of its proper divisors (101460158).

11084510089 is an frugal number, since it uses more digits than its factorization.

11084510089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 11084510089 in words is "eleven billion, eighty-four million, five hundred ten thousand, eighty-nine".

Divisors: 1 127 829 16129 105283 687241 13370941 87279607 11084510089