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641316132 = 2232113157649
BaseRepresentation
bin100110001110011…
…011010100100100
31122200202020100100
4212032123110210
52303134104012
6143345344100
721615045222
oct4616332444
91580666310
10641316132
112aa008336
1215a938030
13a2b33502
146125db12
153b47e8dc
hex2639b524

641316132 has 36 divisors (see below), whose sum is σ = 1635461100. Its totient is φ = 211878912.

The previous prime is 641316113. The next prime is 641316149. The reversal of 641316132 is 231613146.

641316132 is a `hidden beast` number, since 6 + 41 + 3 + 1 + 613 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 576288036 = 8064^2 + 24006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×6413161323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 641316096 and 641316105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74757 + ... + 82892.

It is an arithmetic number, because the mean of its divisors is an integer number (45429475).

Almost surely, 2641316132 is an apocalyptic number.

It is an amenable number.

641316132 is an abundant number, since it is smaller than the sum of its proper divisors (994144968).

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

641316132 is a wasteful number, since it uses less digits than its factorization.

641316132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157772 (or 157767 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 641316132 is about 25324.2202644030. The cubic root of 641316132 is about 862.3642049601.

Adding to 641316132 its reverse (231613146), we get a palindrome (872929278).

The spelling of 641316132 in words is "six hundred forty-one million, three hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 157649 315298 472947 630596 945894 1418841 1891788 2837682 5675364 17814337 35628674 53443011 71257348 106886022 160329033 213772044 320658066 641316132