Search a number
-
+
454109597761 is a prime number
BaseRepresentation
bin1101001101110110000…
…10101001000001000001
31121102010200022201221011
412212323002221001001
524420004024112021
6544340504400521
744544154615231
oct6467302510101
91542120281834
10454109597761
11165650036036
1274014476141
1333a8c923a01
1417d9c615cc1
15bc2be61de1
hex69bb0a9041

454109597761 has 2 divisors, whose sum is σ = 454109597762. Its totient is φ = 454109597760.

The previous prime is 454109597741. The next prime is 454109597783. The reversal of 454109597761 is 167795901454.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245128961025 + 208980636736 = 495105^2 + 457144^2 .

It is a cyclic number.

It is not a de Polignac number, because 454109597761 - 211 = 454109595713 is a prime.

It is a super-3 number, since 3×4541095977613 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454109597696 and 454109597705.

It is not a weakly prime, because it can be changed into another prime (454109597741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 227054798880 + 227054798881.

It is an arithmetic number, because the mean of its divisors is an integer number (227054798881).

Almost surely, 2454109597761 is an apocalyptic number.

It is an amenable number.

454109597761 is a deficient number, since it is larger than the sum of its proper divisors (1).

454109597761 is an equidigital number, since it uses as much as digits as its factorization.

454109597761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 454109597761 in words is "four hundred fifty-four billion, one hundred nine million, five hundred ninety-seven thousand, seven hundred sixty-one".