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82838972353 is a prime number
BaseRepresentation
bin100110100100110010…
…1100110011111000001
321220211012010210221011
41031021211212133001
52324123234103403
6102020010400521
75661553434634
oct1151145463701
9256735123834
1082838972353
113214a493025
121407a730141
137a72358c07
14401bc25c1b
15224c855a6d
hex13499667c1

82838972353 has 2 divisors, whose sum is σ = 82838972354. Its totient is φ = 82838972352.

The previous prime is 82838972351. The next prime is 82838972383. The reversal of 82838972353 is 35327983828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76833187344 + 6005785009 = 277188^2 + 77497^2 .

It is a cyclic number.

It is not a de Polignac number, because 82838972353 - 21 = 82838972351 is a prime.

Together with 82838972351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82838972351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41419486176 + 41419486177.

It is an arithmetic number, because the mean of its divisors is an integer number (41419486177).

Almost surely, 282838972353 is an apocalyptic number.

It is an amenable number.

82838972353 is a deficient number, since it is larger than the sum of its proper divisors (1).

82838972353 is an equidigital number, since it uses as much as digits as its factorization.

82838972353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17418240, while the sum is 58.

The spelling of 82838972353 in words is "eighty-two billion, eight hundred thirty-eight million, nine hundred seventy-two thousand, three hundred fifty-three".