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331886688133 = 72111323643463
BaseRepresentation
bin1001101010001011111…
…11001111011110000101
31011201122202100121200111
410311011333033132011
520414200443010013
6412244443313021
732656314205600
oct4650577173605
91151582317614
10331886688133
11118830424020
12543a421b771
13253b2046400
14120c5d8b337
158976c6673d
hex4d45fcf785

331886688133 has 36 divisors (see below), whose sum is σ = 456059675808. Its totient is φ = 238719630240.

The previous prime is 331886688097. The next prime is 331886688157.

331886688133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331886688133 - 29 = 331886687621 is a prime.

It is a super-2 number, since 2×3318866881332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331886688433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1730641 + ... + 1912822.

It is an arithmetic number, because the mean of its divisors is an integer number (12668324328).

Almost surely, 2331886688133 is an apocalyptic number.

It is an amenable number.

331886688133 is a deficient number, since it is larger than the sum of its proper divisors (124172987675).

331886688133 is a wasteful number, since it uses less digits than its factorization.

331886688133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643514 (or 3643494 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 331886688133 in words is "three hundred thirty-one billion, eight hundred eighty-six million, six hundred eighty-eight thousand, one hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 91091 3643463 25504241 40078093 47365019 178529687 280546651 331555133 521015209 615745247 1963826557 2320885931 3647106463 4310216729 6773197717 25529745241 30171517103 47412384019 331886688133