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382605381853 is a prime number
BaseRepresentation
bin1011001000101010000…
…11101101000011011101
31100120120102112012202021
411210111003231003131
522232033434204403
6451433321100141
736433214041402
oct5442503550335
91316512465667
10382605381853
11138297844322
1262199927651
132a10596c196
1414737d202a9
159e447728bd
hex59150ed0dd

382605381853 has 2 divisors, whose sum is σ = 382605381854. Its totient is φ = 382605381852.

The previous prime is 382605381817. The next prime is 382605381863. The reversal of 382605381853 is 358183506283.

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., 367785241209 + 14820140644 = 606453^2 + 121738^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382605381853 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382605381853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382605381863) 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, 191302690926 + 191302690927.

It is an arithmetic number, because the mean of its divisors is an integer number (191302690927).

Almost surely, 2382605381853 is an apocalyptic number.

It is an amenable number.

382605381853 is a deficient number, since it is larger than the sum of its proper divisors (1).

382605381853 is an equidigital number, since it uses as much as digits as its factorization.

382605381853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 382605381853 in words is "three hundred eighty-two billion, six hundred five million, three hundred eighty-one thousand, eight hundred fifty-three".