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82357438343 = 2953211253949
BaseRepresentation
bin100110010110011100…
…0101100011110000111
321212120122001100110012
41030230320230132013
52322132001011333
6101500125420435
75643615450455
oct1145470543607
9255518040405
1082357438343
1131a22699434
1213b6540a71b
1379c666ac4b
143db3cb99d5
152220438e48
hex132ce2c787

82357438343 has 16 divisors (see below), whose sum is σ = 87216588000. Its totient is φ = 77647140480.

The previous prime is 82357438337. The next prime is 82357438357. The reversal of 82357438343 is 34383475328.

It is a cyclic number.

It is not a de Polignac number, because 82357438343 - 24 = 82357438327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82357438291 and 82357438300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82357438313) 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 in 15 ways as a sum of consecutive naturals, for example, 197333 + ... + 451281.

It is an arithmetic number, because the mean of its divisors is an integer number (5451036750).

Almost surely, 282357438343 is an apocalyptic number.

82357438343 is a deficient number, since it is larger than the sum of its proper divisors (4859149657).

82357438343 is a wasteful number, since it uses less digits than its factorization.

82357438343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254242.

The product of its digits is 5806080, while the sum is 50.

The spelling of 82357438343 in words is "eighty-two billion, three hundred fifty-seven million, four hundred thirty-eight thousand, three hundred forty-three".

Divisors: 1 29 53 211 1537 6119 11183 253949 324307 7364521 13459297 53583239 390319613 1553913931 2839911667 82357438343