Search a number
-
+
379434866785409 is a prime number
BaseRepresentation
bin101011001000110000001000…
…0011100110011110010000001
31211202110121201020221202212102
41112101200100130303302001
5344213130101344113114
63422553545454440145
7142631156500546121
oct12621402034636201
91752417636852772
10379434866785409
11aa9994724a9aa6
1236681029203055
131339472905a7b6
14699aa61a96c81
152dcee894442de
hex1591810733c81

379434866785409 has 2 divisors, whose sum is σ = 379434866785410. Its totient is φ = 379434866785408.

The previous prime is 379434866785391. The next prime is 379434866785411. The reversal of 379434866785409 is 904587668434973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251066306685184 + 128368560100225 = 15845072^2 + 11329985^2 .

It is a cyclic number.

It is not a de Polignac number, because 379434866785409 - 216 = 379434866719873 is a prime.

It is a super-2 number, since 2×3794348667854092 (a number of 30 digits) contains 22 as substring.

Together with 379434866785411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (379434866785489) 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, 189717433392704 + 189717433392705.

It is an arithmetic number, because the mean of its divisors is an integer number (189717433392705).

Almost surely, 2379434866785409 is an apocalyptic number.

It is an amenable number.

379434866785409 is a deficient number, since it is larger than the sum of its proper divisors (1).

379434866785409 is an equidigital number, since it uses as much as digits as its factorization.

379434866785409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26336378880, while the sum is 83.

The spelling of 379434866785409 in words is "three hundred seventy-nine trillion, four hundred thirty-four billion, eight hundred sixty-six million, seven hundred eighty-five thousand, four hundred nine".