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408218590049 is a prime number
BaseRepresentation
bin1011111000010111011…
…10010101101101100001
31110000200110022000001212
411330023232111231201
523142012424340144
6511311045035505
741331015522644
oct5741356255541
91400613260055
10408218590049
1114814082a786
12671476b5b95
132c65824718a
1415a878cba5b
15a9431c149e
hex5f0bb95b61

408218590049 has 2 divisors, whose sum is σ = 408218590050. Its totient is φ = 408218590048.

The previous prime is 408218590009. The next prime is 408218590093. The reversal of 408218590049 is 940095812804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337598185024 + 70620405025 = 581032^2 + 265745^2 .

It is a cyclic number.

It is not a de Polignac number, because 408218590049 - 212 = 408218585953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 408218589979 and 408218590006.

It is not a weakly prime, because it can be changed into another prime (408218590009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204109295024 + 204109295025.

It is an arithmetic number, because the mean of its divisors is an integer number (204109295025).

Almost surely, 2408218590049 is an apocalyptic number.

It is an amenable number.

408218590049 is a deficient number, since it is larger than the sum of its proper divisors (1).

408218590049 is an equidigital number, since it uses as much as digits as its factorization.

408218590049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 408218590049 in words is "four hundred eight billion, two hundred eighteen million, five hundred ninety thousand, forty-nine".