Search a number
-
+
416190895369 is a prime number
BaseRepresentation
bin1100000111001101110…
…10010001010100001001
31110210021001121002000021
412003212322101110021
523304324332122434
6515110115140441
742032412145414
oct6034672212411
91423231532007
10416190895369
11150561a01767
12687b15a4721
1330328b116c2
1416202626b7b
15ac5d04acb4
hex60e6e91509

416190895369 has 2 divisors, whose sum is σ = 416190895370. Its totient is φ = 416190895368.

The previous prime is 416190895331. The next prime is 416190895399. The reversal of 416190895369 is 963598091614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291370005369 + 124820890000 = 539787^2 + 353300^2 .

It is a cyclic number.

It is not a de Polignac number, because 416190895369 - 215 = 416190862601 is a prime.

It is a super-2 number, since 2×4161908953692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416190895319) 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, 208095447684 + 208095447685.

It is an arithmetic number, because the mean of its divisors is an integer number (208095447685).

Almost surely, 2416190895369 is an apocalyptic number.

It is an amenable number.

416190895369 is a deficient number, since it is larger than the sum of its proper divisors (1).

416190895369 is an equidigital number, since it uses as much as digits as its factorization.

416190895369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 416190895369 in words is "four hundred sixteen billion, one hundred ninety million, eight hundred ninety-five thousand, three hundred sixty-nine".