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4006404000097 is a prime number
BaseRepresentation
bin111010010011010000010…
…010011000100101100001
3112012000020011221121112221
4322103100102120211201
51011120103411000342
612304303325551041
7562311266053252
oct72232022304541
915160204847487
104006404000097
11130511967a734
12548574715481
13230a577a66c5
14dbca7a74b29
156e3382e6a67
hex3a4d0498961

4006404000097 has 2 divisors, whose sum is σ = 4006404000098. Its totient is φ = 4006404000096.

The previous prime is 4006403999989. The next prime is 4006404000169. The reversal of 4006404000097 is 7900004046004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3769204805136 + 237199194961 = 1941444^2 + 487031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4006404000097 is a prime.

It is not a weakly prime, because it can be changed into another prime (4006404001097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003202000048 + 2003202000049.

It is an arithmetic number, because the mean of its divisors is an integer number (2003202000049).

Almost surely, 24006404000097 is an apocalyptic number.

It is an amenable number.

4006404000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006404000097 is an equidigital number, since it uses as much as digits as its factorization.

4006404000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 4006404000097 in words is "four trillion, six billion, four hundred four million, ninety-seven", and thus it is an aban number.