Search a number
-
+
382714051609 is a prime number
BaseRepresentation
bin1011001000110111000…
…10001111110000011001
31100120212000000012122001
411210123202033300121
522232244244122414
6451452202201001
736436003523011
oct5443342176031
91316760005561
10382714051609
1113834311753a
126220a1b3161
132a122329c06
141474852ac41
159e4e08b074
hex591b88fc19

382714051609 has 2 divisors, whose sum is σ = 382714051610. Its totient is φ = 382714051608.

The previous prime is 382714051571. The next prime is 382714051613. The reversal of 382714051609 is 906150417283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270663184009 + 112050867600 = 520253^2 + 334740^2 .

It is an emirp because it is prime and its reverse (906150417283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382714051609 - 211 = 382714049561 is a prime.

It is not a weakly prime, because it can be changed into another prime (382714054609) 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, 191357025804 + 191357025805.

It is an arithmetic number, because the mean of its divisors is an integer number (191357025805).

It is a 1-persistent number, because it is pandigital, but 2⋅382714051609 = 765428103218 is not.

Almost surely, 2382714051609 is an apocalyptic number.

It is an amenable number.

382714051609 is a deficient number, since it is larger than the sum of its proper divisors (1).

382714051609 is an equidigital number, since it uses as much as digits as its factorization.

382714051609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 382714051609 in words is "three hundred eighty-two billion, seven hundred fourteen million, fifty-one thousand, six hundred nine".