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418208468101 is a prime number
BaseRepresentation
bin1100001010111110010…
…10101100110010000101
31110222110200000101111021
412011133022230302011
523322442331434401
6520042230511141
742133411216564
oct6053712546205
91428420011437
10418208468101
111513a7860a46
12690752054b1
133058aacc418
1416354577bdb
15ad2a2302a1
hex615f2acc85

418208468101 has 2 divisors, whose sum is σ = 418208468102. Its totient is φ = 418208468100.

The previous prime is 418208468071. The next prime is 418208468137. The reversal of 418208468101 is 101864802814.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385311940225 + 32896527876 = 620735^2 + 181374^2 .

It is a cyclic number.

It is not a de Polignac number, because 418208468101 - 27 = 418208467973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418208418101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209104234050 + 209104234051.

It is an arithmetic number, because the mean of its divisors is an integer number (209104234051).

Almost surely, 2418208468101 is an apocalyptic number.

It is an amenable number.

418208468101 is a deficient number, since it is larger than the sum of its proper divisors (1).

418208468101 is an equidigital number, since it uses as much as digits as its factorization.

418208468101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 418208468101 in words is "four hundred eighteen billion, two hundred eight million, four hundred sixty-eight thousand, one hundred one".