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85552990337 is a prime number
BaseRepresentation
bin100111110101101011…
…0110000100010000001
322011211100001012200202
41033223112300202001
52400203031142322
6103145201254545
76116040263543
oct1175326604201
9264740035622
1085552990337
11333124839a1
12146b7634455
1380b5710009
1441d8467693
15235ac59292
hex13eb5b0881

85552990337 has 2 divisors, whose sum is σ = 85552990338. Its totient is φ = 85552990336.

The previous prime is 85552990333. The next prime is 85552990339. The reversal of 85552990337 is 73309925558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72930243136 + 12622747201 = 270056^2 + 112351^2 .

It is a cyclic number.

It is not a de Polignac number, because 85552990337 - 22 = 85552990333 is a prime.

Together with 85552990339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85552990333) 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, 42776495168 + 42776495169.

It is an arithmetic number, because the mean of its divisors is an integer number (42776495169).

Almost surely, 285552990337 is an apocalyptic number.

It is an amenable number.

85552990337 is a deficient number, since it is larger than the sum of its proper divisors (1).

85552990337 is an equidigital number, since it uses as much as digits as its factorization.

85552990337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206000, while the sum is 56.

The spelling of 85552990337 in words is "eighty-five billion, five hundred fifty-two million, nine hundred ninety thousand, three hundred thirty-seven".