Search a number
-
+
9116590536 = 2332126619313
BaseRepresentation
bin10000111110110010…
…00010000111001000
3212112100110210011100
420133121002013020
5122132321344121
64104344101400
7441626512104
oct103731020710
925470423140
109116590536
113959094449
121925164860
13b23982391
14626ac4904
1538555c026
hex21f6421c8

9116590536 has 24 divisors (see below), whose sum is σ = 24690766230. Its totient is φ = 3038863488.

The previous prime is 9116590529. The next prime is 9116590537. The reversal of 9116590536 is 6350956119.

9116590536 is a `hidden beast` number, since 9 + 1 + 1 + 6 + 590 + 53 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7595122500 + 1521468036 = 87150^2 + 39006^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×91165905362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9116590491 and 9116590500.

It is not an unprimeable number, because it can be changed into a prime (9116590537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63309585 + ... + 63309728.

Almost surely, 29116590536 is an apocalyptic number.

It is an amenable number.

9116590536 is an abundant number, since it is smaller than the sum of its proper divisors (15574175694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9116590536 is a wasteful number, since it uses less digits than its factorization.

9116590536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126619325 (or 126619318 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9116590536 is about 95480.8385803141. The cubic root of 9116590536 is about 2089.0274647710.

The spelling of 9116590536 in words is "nine billion, one hundred sixteen million, five hundred ninety thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 126619313 253238626 379857939 506477252 759715878 1012954504 1139573817 1519431756 2279147634 3038863512 4558295268 9116590536