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382117412249 is a prime number
BaseRepresentation
bin1011000111101111111…
…10001111110110011001
31100112022102022210021222
411203313332033312121
522230034024142444
6451313050141425
736415140261446
oct5436776176631
91315272283258
10382117412249
11138067354561
1262082421875
132a058839b81
14146cd1ba9cd
159e169d3eee
hex58f7f8fd99

382117412249 has 2 divisors, whose sum is σ = 382117412250. Its totient is φ = 382117412248.

The previous prime is 382117412197. The next prime is 382117412293. The reversal of 382117412249 is 942214711283.

It is an a-pointer prime, because the next prime (382117412293) can be obtained adding 382117412249 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265534090000 + 116583322249 = 515300^2 + 341443^2 .

It is an emirp because it is prime and its reverse (942214711283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382117412249 - 28 = 382117411993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (382117412549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191058706124 + 191058706125.

It is an arithmetic number, because the mean of its divisors is an integer number (191058706125).

Almost surely, 2382117412249 is an apocalyptic number.

It is an amenable number.

382117412249 is a deficient number, since it is larger than the sum of its proper divisors (1).

382117412249 is an equidigital number, since it uses as much as digits as its factorization.

382117412249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 44.

The spelling of 382117412249 in words is "three hundred eighty-two billion, one hundred seventeen million, four hundred twelve thousand, two hundred forty-nine".