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82374312271357 is a prime number
BaseRepresentation
bin10010101110101101000011…
…100111110001110111111101
3101210122220111110021102102201
4102232231003213301313331
541244110042420140412
6451110123040351501
723231230151333311
oct2256550347616775
9353586443242381
1082374312271357
1124279827868617
1292a483a615591
1336c6b30b97692
14164ad1bb9bb41
1597cb29090e57
hex4aeb439f1dfd

82374312271357 has 2 divisors, whose sum is σ = 82374312271358. Its totient is φ = 82374312271356.

The previous prime is 82374312271297. The next prime is 82374312271379. The reversal of 82374312271357 is 75317221347328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70020394816761 + 12353917454596 = 8367819^2 + 3514814^2 .

It is a cyclic number.

It is not a de Polignac number, because 82374312271357 - 231 = 82372164787709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82374312271298 and 82374312271307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82374312271387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41187156135678 + 41187156135679.

It is an arithmetic number, because the mean of its divisors is an integer number (41187156135679).

Almost surely, 282374312271357 is an apocalyptic number.

It is an amenable number.

82374312271357 is a deficient number, since it is larger than the sum of its proper divisors (1).

82374312271357 is an equidigital number, since it uses as much as digits as its factorization.

82374312271357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 55.

The spelling of 82374312271357 in words is "eighty-two trillion, three hundred seventy-four billion, three hundred twelve million, two hundred seventy-one thousand, three hundred fifty-seven".