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409384198849 is a prime number
BaseRepresentation
bin1011111010100010011…
…00110010001011000001
31110010200200121001202011
411331101030302023001
523201404323330344
6512022444052521
741401631163223
oct5752114621301
91403620531664
10409384198849
1114868978693a
1267411b34141
132c7b2889a22
1415b58628413
15a9b06b6d34
hex5f513322c1

409384198849 has 2 divisors, whose sum is σ = 409384198850. Its totient is φ = 409384198848.

The previous prime is 409384198813. The next prime is 409384198987. The reversal of 409384198849 is 948891483904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331016115600 + 78368083249 = 575340^2 + 279943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-409384198849 is a prime.

It is not a weakly prime, because it can be changed into another prime (409384108849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204692099424 + 204692099425.

It is an arithmetic number, because the mean of its divisors is an integer number (204692099425).

Almost surely, 2409384198849 is an apocalyptic number.

It is an amenable number.

409384198849 is a deficient number, since it is larger than the sum of its proper divisors (1).

409384198849 is an equidigital number, since it uses as much as digits as its factorization.

409384198849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 409384198849 in words is "four hundred nine billion, three hundred eighty-four million, one hundred ninety-eight thousand, eight hundred forty-nine".