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82175675569 = 132220512
BaseRepresentation
bin100110010001000001…
…1010100110010110001
321212002222000211210121
41030202003110302301
52321243433104234
6101430113530241
75636250501031
oct1144203246261
9255088024717
1082175675569
113193a032369
1213b14573981
137997aca900
143d97ac38c1
15220e4d34b4
hex13220d4cb1

82175675569 has 9 divisors (see below), whose sum is σ = 88987163499. Its totient is φ = 75851029800.

The previous prime is 82175675567. The next prime is 82175675591. The reversal of 82175675569 is 96557657128.

The square root of 82175675569 is 286663.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12156165025 + 70019510544 = 110255^2 + 264612^2 .

It is not a de Polignac number, because 82175675569 - 21 = 82175675567 is a prime.

It is a super-2 number, since 2×821756755692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82175675567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3715594 + ... + 3737644.

It is an arithmetic number, because the mean of its divisors is an integer number (9887462611).

Almost surely, 282175675569 is an apocalyptic number.

82175675569 is the 286663-rd square number.

82175675569 is the 143332-nd centered octagonal number.

It is an amenable number.

82175675569 is a deficient number, since it is larger than the sum of its proper divisors (6811487930).

82175675569 is an frugal number, since it uses more digits than its factorization.

82175675569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44128 (or 22064 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 61.

The spelling of 82175675569 in words is "eighty-two billion, one hundred seventy-five million, six hundred seventy-five thousand, five hundred sixty-nine".

Divisors: 1 13 169 22051 286663 3726619 486246601 6321205813 82175675569