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82146408565 = 5131263790901
BaseRepresentation
bin100110010000001001…
…1101011100001110101
321212000220221221000111
41030200103223201311
52321213440033230
6101423150343021
75635443644344
oct1144023534165
9255026857014
1082146408565
1131924562661
1213b067baa71
137991a21460
143d93c65b5b
15220bb5192a
hex13204eb875

82146408565 has 8 divisors (see below), whose sum is σ = 106158435768. Its totient is φ = 60661963200.

The previous prime is 82146408493. The next prime is 82146408583. The reversal of 82146408565 is 56580464128.

It can be written as a sum of positive squares in 4 ways, for example, as 296631729 + 81849776836 = 17223^2 + 286094^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-82146408565 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 631895386 + ... + 631895515.

It is an arithmetic number, because the mean of its divisors is an integer number (13269804471).

Almost surely, 282146408565 is an apocalyptic number.

It is an amenable number.

82146408565 is a deficient number, since it is larger than the sum of its proper divisors (24012027203).

82146408565 is a wasteful number, since it uses less digits than its factorization.

82146408565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263790919.

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 82146408565 in words is "eighty-two billion, one hundred forty-six million, four hundred eight thousand, five hundred sixty-five".

Divisors: 1 5 13 65 1263790901 6318954505 16429281713 82146408565