Search a number
-
+
415435784593 is a prime number
BaseRepresentation
bin1100000101110011110…
…01110000000110010001
31110201022102201110202111
412002321321300012101
523301303030101333
6514503142345321
742004612622314
oct6027171600621
91421272643674
10415435784593
11150204740875
126862072b241
13302385478ab
141617022497b
15ac16ade4cd
hex60b9e70191

415435784593 has 2 divisors, whose sum is σ = 415435784594. Its totient is φ = 415435784592.

The previous prime is 415435784579. The next prime is 415435784597. The reversal of 415435784593 is 395487534514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306897164289 + 108538620304 = 553983^2 + 329452^2 .

It is a cyclic number.

It is not a de Polignac number, because 415435784593 - 213 = 415435776401 is a prime.

It is a super-2 number, since 2×4154357845932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (415435784597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207717892296 + 207717892297.

It is an arithmetic number, because the mean of its divisors is an integer number (207717892297).

Almost surely, 2415435784593 is an apocalyptic number.

It is an amenable number.

415435784593 is a deficient number, since it is larger than the sum of its proper divisors (1).

415435784593 is an equidigital number, since it uses as much as digits as its factorization.

415435784593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288000, while the sum is 58.

The spelling of 415435784593 in words is "four hundred fifteen billion, four hundred thirty-five million, seven hundred eighty-four thousand, five hundred ninety-three".