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82857040229 is a prime number
BaseRepresentation
bin100110100101010101…
…0100001100101100101
321220212110010202101202
41031022222201211211
52324142400241404
6102021453532245
75662163135645
oct1151252414545
9256773122352
1082857040229
1132159703757
12140847a4085
137a76013a72
1440203aa525
15224e22421e
hex134aaa1965

82857040229 has 2 divisors, whose sum is σ = 82857040230. Its totient is φ = 82857040228.

The previous prime is 82857040213. The next prime is 82857040237. The reversal of 82857040229 is 92204075828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55083151204 + 27773889025 = 234698^2 + 166655^2 .

It is a cyclic number.

It is not a de Polignac number, because 82857040229 - 24 = 82857040213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82857040249) 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 as a sum of consecutive naturals, namely, 41428520114 + 41428520115.

It is an arithmetic number, because the mean of its divisors is an integer number (41428520115).

Almost surely, 282857040229 is an apocalyptic number.

It is an amenable number.

82857040229 is a deficient number, since it is larger than the sum of its proper divisors (1).

82857040229 is an equidigital number, since it uses as much as digits as its factorization.

82857040229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 82857040229 in words is "eighty-two billion, eight hundred fifty-seven million, forty thousand, two hundred twenty-nine".