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9104666131 = 114574873719
BaseRepresentation
bin10000111101010111…
…00010111000010011
3212111112000221221201
420132223202320103
5122121243304011
64103240332031
7441423246061
oct103653427023
925445027851
109104666131
11395238a470
121921174017
13b21368912
1462529d031
153844a3cc1
hex21eae2e13

9104666131 has 16 divisors (see below), whose sum is σ = 9977218560. Its totient is φ = 8239682880.

The previous prime is 9104666093. The next prime is 9104666141. The reversal of 9104666131 is 1316664019.

9104666131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9104666131 - 217 = 9104535059 is a prime.

It is a super-3 number, since 3×91046661313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9104666141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2446290 + ... + 2450008.

It is an arithmetic number, because the mean of its divisors is an integer number (623576160).

Almost surely, 29104666131 is an apocalyptic number.

9104666131 is a deficient number, since it is larger than the sum of its proper divisors (872552429).

9104666131 is a wasteful number, since it uses less digits than its factorization.

9104666131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 9104666131 is about 95418.3741791905. The cubic root of 9104666131 is about 2088.1162586866.

The spelling of 9104666131 in words is "nine billion, one hundred four million, six hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 11 457 487 3719 5027 5357 40909 222559 1699583 1811153 2448149 18695413 19922683 827696921 9104666131