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82839409973 = 1721433200029
BaseRepresentation
bin100110100100110011…
…1010001010100110101
321220211012222001020022
41031021213101110311
52324123342104343
6102020024014525
75661560236535
oct1151147212465
9256735861208
1082839409973
113214a7618a1
121407a901445
137a72480168
14401bcdb4c5
15224c8e0568
hex13499d1535

82839409973 has 12 divisors (see below), whose sum is σ = 88060807140. Its totient is φ = 77911706112.

The previous prime is 82839409967. The next prime is 82839409997. The reversal of 82839409973 is 37990493828.

It can be written as a sum of positive squares in 6 ways, for example, as 25587841444 + 57251568529 = 159962^2 + 239273^2 .

It is not a de Polignac number, because 82839409973 - 222 = 82835215669 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 (82839409903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314123 + ... + 514151.

It is an arithmetic number, because the mean of its divisors is an integer number (7338400595).

Almost surely, 282839409973 is an apocalyptic number.

It is an amenable number.

82839409973 is a deficient number, since it is larger than the sum of its proper divisors (5221397167).

82839409973 is a wasteful number, since it uses less digits than its factorization.

82839409973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201496 (or 201479 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 82839409973 in words is "eighty-two billion, eight hundred thirty-nine million, four hundred nine thousand, nine hundred seventy-three".

Divisors: 1 17 289 1433 24361 200029 414137 3400493 57808381 286641557 4872906469 82839409973