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2820408809 is a prime number
BaseRepresentation
bin1010100000011100…
…0000010111101001
321021120002121112112
42220013000113221
521234011040214
61143511052105
7126615036131
oct25007002751
97246077475
102820408809
111218057979
12668671035
1335c42476a
141ca817ac1
1511791ba3e
hexa81c05e9

2820408809 has 2 divisors, whose sum is σ = 2820408810. Its totient is φ = 2820408808.

The previous prime is 2820408797. The next prime is 2820408839. The reversal of 2820408809 is 9088040282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2445599209 + 374809600 = 49453^2 + 19360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2820408809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2820408839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1410204404 + 1410204405.

It is an arithmetic number, because the mean of its divisors is an integer number (1410204405).

Almost surely, 22820408809 is an apocalyptic number.

It is an amenable number.

2820408809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2820408809 is an equidigital number, since it uses as much as digits as its factorization.

2820408809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 2820408809 is about 53107.5212093353. The cubic root of 2820408809 is about 1412.8759115813.

The spelling of 2820408809 in words is "two billion, eight hundred twenty million, four hundred eight thousand, eight hundred nine".