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82357438337 is a prime number
BaseRepresentation
bin100110010110011100…
…0101100011110000001
321212120122001100102222
41030230320230132001
52322132001011322
6101500125420425
75643615450446
oct1145470543601
9255518040388
1082357438337
1131a22699429
1213b6540a715
1379c666ac45
143db3cb99cd
152220438e42
hex132ce2c781

82357438337 has 2 divisors, whose sum is σ = 82357438338. Its totient is φ = 82357438336.

The previous prime is 82357438327. The next prime is 82357438357. The reversal of 82357438337 is 73383475328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46160092801 + 36197345536 = 214849^2 + 190256^2 .

It is a cyclic number.

It is not a de Polignac number, because 82357438337 - 230 = 81283696513 is a prime.

It is not a weakly prime, because it can be changed into another prime (82357438327) 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, 41178719168 + 41178719169.

It is an arithmetic number, because the mean of its divisors is an integer number (41178719169).

Almost surely, 282357438337 is an apocalyptic number.

It is an amenable number.

82357438337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82357438337 is an equidigital number, since it uses as much as digits as its factorization.

82357438337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10160640, while the sum is 53.

The spelling of 82357438337 in words is "eighty-two billion, three hundred fifty-seven million, four hundred thirty-eight thousand, three hundred thirty-seven".