Search a number
-
+
408264460601 is a prime number
BaseRepresentation
bin1011111000011100111…
…01010100100100111001
31110000210122121110122012
411330032131110210321
523142111200214401
6511315404135305
741332113441224
oct5741635244471
91400718543565
10408264460601
1114816470aa28
126715ab37535
132c6648b7b0a
1415a8da2c5bb
15a9472328bb
hex5f0e754939

408264460601 has 2 divisors, whose sum is σ = 408264460602. Its totient is φ = 408264460600.

The previous prime is 408264460573. The next prime is 408264460603. The reversal of 408264460601 is 106064462804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298226302201 + 110038158400 = 546101^2 + 331720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408264460601 is a prime.

Together with 408264460603, 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 (408264460603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204132230300 + 204132230301.

It is an arithmetic number, because the mean of its divisors is an integer number (204132230301).

Almost surely, 2408264460601 is an apocalyptic number.

It is an amenable number.

408264460601 is a deficient number, since it is larger than the sum of its proper divisors (1).

408264460601 is an equidigital number, since it uses as much as digits as its factorization.

408264460601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 408264460601 in words is "four hundred eight billion, two hundred sixty-four million, four hundred sixty thousand, six hundred one".