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82856823829 = 1337172259509
BaseRepresentation
bin100110100101010100…
…1101100110000010101
321220212102201202112221
41031022221230300111
52324142321330304
6102021445142341
75662161245023
oct1151251546025
9256772652487
1082856823829
113215957610a
12140846ba9b1
137a75c69410
144020351713
15224e1d0054
hex134aa6cc15

82856823829 has 8 divisors (see below), whose sum is σ = 91642059320. Its totient is φ = 74416107456.

The previous prime is 82856823827. The next prime is 82856823857. The reversal of 82856823829 is 92832865828.

It can be written as a sum of positive squares in 4 ways, for example, as 1504664100 + 81352159729 = 38790^2 + 285223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82856823829 - 21 = 82856823827 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82856823827) 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 7 ways as a sum of consecutive naturals, for example, 86129274 + ... + 86130235.

It is an arithmetic number, because the mean of its divisors is an integer number (11455257415).

Almost surely, 282856823829 is an apocalyptic number.

It is an amenable number.

82856823829 is a deficient number, since it is larger than the sum of its proper divisors (8785235491).

82856823829 is a wasteful number, since it uses less digits than its factorization.

82856823829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172259559.

The product of its digits is 26542080, while the sum is 61.

The spelling of 82856823829 in words is "eighty-two billion, eight hundred fifty-six million, eight hundred twenty-three thousand, eight hundred twenty-nine".

Divisors: 1 13 37 481 172259509 2239373617 6373601833 82856823829