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408484004009 is a prime number
BaseRepresentation
bin1011111000110111000…
…10110100000010101001
31110001100221201102120112
411330123202310002221
523143033401112014
6511353245504105
741340420513404
oct5743342640251
91401327642515
10408484004009
11148267631164
1267200572035
132c69b225763
1415ab0c5ad3b
15a95b64c73e
hex5f1b8b40a9

408484004009 has 2 divisors, whose sum is σ = 408484004010. Its totient is φ = 408484004008.

The previous prime is 408484003973. The next prime is 408484004041. The reversal of 408484004009 is 900400484804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295776085609 + 112707918400 = 543853^2 + 335720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408484004009 is a prime.

It is not a weakly prime, because it can be changed into another prime (408484004209) 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, 204242002004 + 204242002005.

It is an arithmetic number, because the mean of its divisors is an integer number (204242002005).

Almost surely, 2408484004009 is an apocalyptic number.

It is an amenable number.

408484004009 is a deficient number, since it is larger than the sum of its proper divisors (1).

408484004009 is an equidigital number, since it uses as much as digits as its factorization.

408484004009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 408484004009 in words is "four hundred eight billion, four hundred eighty-four million, four thousand, nine".