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4038497129 is a prime number
BaseRepresentation
bin1111000010110110…
…1001001101101001
3101102110010220120202
43300231221031221
531232323402004
61504423001545
7202035442052
oct36055511551
911373126522
104038497129
111792698737
129485992b5
134c48b0194
142a44d5729
1518982bb1e
hexf0b69369

4038497129 has 2 divisors, whose sum is σ = 4038497130. Its totient is φ = 4038497128.

The previous prime is 4038497119. The next prime is 4038497147. The reversal of 4038497129 is 9217948304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2223311104 + 1815186025 = 47152^2 + 42605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4038497129 is a prime.

It is a super-3 number, since 3×40384971293 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (4038497119) 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, 2019248564 + 2019248565.

It is an arithmetic number, because the mean of its divisors is an integer number (2019248565).

Almost surely, 24038497129 is an apocalyptic number.

It is an amenable number.

4038497129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4038497129 is an equidigital number, since it uses as much as digits as its factorization.

4038497129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 4038497129 is about 63549.1709544664. The cubic root of 4038497129 is about 1592.4773333656.

The spelling of 4038497129 in words is "four billion, thirty-eight million, four hundred ninety-seven thousand, one hundred twenty-nine".