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82357438357 is a prime number
BaseRepresentation
bin100110010110011100…
…0101100011110010101
321212120122001100110201
41030230320230132111
52322132001011412
6101500125420501
75643615450505
oct1145470543625
9255518040421
1082357438357
1131a22699447
1213b6540a731
1379c666ac5c
143db3cb9a05
152220438e57
hex132ce2c795

82357438357 has 2 divisors, whose sum is σ = 82357438358. Its totient is φ = 82357438356.

The previous prime is 82357438337. The next prime is 82357438367. The reversal of 82357438357 is 75383475328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79674094756 + 2683343601 = 282266^2 + 51801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82357438357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82357438298 and 82357438307.

It is a congruent number.

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 (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41178719178 + 41178719179.

It is an arithmetic number, because the mean of its divisors is an integer number (41178719179).

Almost surely, 282357438357 is an apocalyptic number.

It is an amenable number.

82357438357 is a deficient number, since it is larger than the sum of its proper divisors (1).

82357438357 is an equidigital number, since it uses as much as digits as its factorization.

82357438357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16934400, while the sum is 55.

The spelling of 82357438357 in words is "eighty-two billion, three hundred fifty-seven million, four hundred thirty-eight thousand, three hundred fifty-seven".