Search a number
-
+
348580816417 is a prime number
BaseRepresentation
bin1010001001010010000…
…10010010011000100001
31020022202012022012111001
411010221002102120201
521202343142111132
6424045200352001
734120105023541
oct5045102223041
91208665265431
10348580816417
11124917868759
1257683015601
1326b42864222
1412c2b1a9321
15910266ece7
hex5129092621

348580816417 has 2 divisors, whose sum is σ = 348580816418. Its totient is φ = 348580816416.

The previous prime is 348580816349. The next prime is 348580816427. The reversal of 348580816417 is 714618085843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326356268176 + 22224548241 = 571276^2 + 149079^2 .

It is a cyclic number.

It is not a de Polignac number, because 348580816417 - 219 = 348580292129 is a prime.

It is not a weakly prime, because it can be changed into another prime (348580816427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174290408208 + 174290408209.

It is an arithmetic number, because the mean of its divisors is an integer number (174290408209).

Almost surely, 2348580816417 is an apocalyptic number.

It is an amenable number.

348580816417 is a deficient number, since it is larger than the sum of its proper divisors (1).

348580816417 is an equidigital number, since it uses as much as digits as its factorization.

348580816417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 348580816417 in words is "three hundred forty-eight billion, five hundred eighty million, eight hundred sixteen thousand, four hundred seventeen".