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82136613 = 3132972623
BaseRepresentation
bin1001110010101…
…00111000100101
312201112222020210
410321110320211
5132011332423
612052250033
72015102226
oct471247045
9181488223
1082136613
11424004a9
1223610919
131402aa60
14aca124d
157326b93
hex4e54e25

82136613 has 16 divisors (see below), whose sum is σ = 122008320. Its totient is φ = 48801984.

The previous prime is 82136609. The next prime is 82136647. The reversal of 82136613 is 31663128.

It is not a de Polignac number, because 82136613 - 22 = 82136609 is a prime.

It is a super-3 number, since 3×821366133 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82136513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35181 + ... + 37442.

It is an arithmetic number, because the mean of its divisors is an integer number (7625520).

Almost surely, 282136613 is an apocalyptic number.

It is an amenable number.

82136613 is a deficient number, since it is larger than the sum of its proper divisors (39871707).

82136613 is a wasteful number, since it uses less digits than its factorization.

82136613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72668.

The product of its digits is 5184, while the sum is 30.

The square root of 82136613 is about 9062.9251900256. The cubic root of 82136613 is about 434.6892800216.

The spelling of 82136613 in words is "eighty-two million, one hundred thirty-six thousand, six hundred thirteen".

Divisors: 1 3 13 29 39 87 377 1131 72623 217869 944099 2106067 2832297 6318201 27378871 82136613