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4098733729 is a prime number
BaseRepresentation
bin1111010001001101…
…1011011010100001
3101120122111020122221
43310103123122201
531343233434404
61514414031041
7203366443006
oct36423333241
911518436587
104098733729
1118136a0352
129647a8481
13504210a3c
142ac4d58ad
1518ec79954
hexf44db6a1

4098733729 has 2 divisors, whose sum is σ = 4098733730. Its totient is φ = 4098733728.

The previous prime is 4098733703. The next prime is 4098733753. The reversal of 4098733729 is 9273378904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3019282704 + 1079451025 = 54948^2 + 32855^2 .

It is a cyclic number.

It is not a de Polignac number, because 4098733729 - 27 = 4098733601 is a prime.

It is not a weakly prime, because it can be changed into another prime (4098733759) 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, 2049366864 + 2049366865.

It is an arithmetic number, because the mean of its divisors is an integer number (2049366865).

Almost surely, 24098733729 is an apocalyptic number.

It is an amenable number.

4098733729 is a deficient number, since it is larger than the sum of its proper divisors (1).

4098733729 is an equidigital number, since it uses as much as digits as its factorization.

4098733729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 4098733729 is about 64021.3536954663. The cubic root of 4098733729 is about 1600.3558751366.

The spelling of 4098733729 in words is "four billion, ninety-eight million, seven hundred thirty-three thousand, seven hundred twenty-nine".