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82604709261 = 3226334898483
BaseRepresentation
bin100110011101110011…
…1111101010110001101
321220012212100000101100
41030323213331112031
52323133301144021
6101540441333313
75653010305104
oct1147347752615
9256185300340
1082604709261
113203a228768
1214014197239
137a359663b9
143dd8a8503b
152236ece626
hex133b9fd58d

82604709261 has 12 divisors (see below), whose sum is σ = 119771597088. Its totient is φ = 54860413704.

The previous prime is 82604709259. The next prime is 82604709281. The reversal of 82604709261 is 16290740628.

It is a happy number.

It is not a de Polignac number, because 82604709261 - 21 = 82604709259 is a prime.

It is a super-2 number, since 2×826047092612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82604709281) 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 11 ways as a sum of consecutive naturals, for example, 17446875 + ... + 17451608.

It is an arithmetic number, because the mean of its divisors is an integer number (9980966424).

Almost surely, 282604709261 is an apocalyptic number.

It is an amenable number.

82604709261 is a deficient number, since it is larger than the sum of its proper divisors (37166887827).

82604709261 is a wasteful number, since it uses less digits than its factorization.

82604709261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34898752 (or 34898749 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82604709261 in words is "eighty-two billion, six hundred four million, seven hundred nine thousand, two hundred sixty-one".

Divisors: 1 3 9 263 789 2367 34898483 104695449 314086347 9178301029 27534903087 82604709261