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4098208769 is a prime number
BaseRepresentation
bin1111010001000101…
…1011010000000001
3101120121111120112222
43310101123100001
531343120140034
61514354500425
7203362125344
oct36421332001
911517446488
104098208769
1118133719a6
12964594715
13504088b05
142ac3da45b
1518ebc412e
hexf445b401

4098208769 has 2 divisors, whose sum is σ = 4098208770. Its totient is φ = 4098208768.

The previous prime is 4098208703. The next prime is 4098208771. The reversal of 4098208769 is 9678028904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3314880625 + 783328144 = 57575^2 + 27988^2 .

It is a cyclic number.

It is not a de Polignac number, because 4098208769 - 228 = 3829773313 is a prime.

It is a super-2 number, since 2×40982087692 = 33590630228616990722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 4098208771, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4098208769.

It is not a weakly prime, because it can be changed into another prime (4098208789) 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, 2049104384 + 2049104385.

It is an arithmetic number, because the mean of its divisors is an integer number (2049104385).

Almost surely, 24098208769 is an apocalyptic number.

It is an amenable number.

4098208769 is a deficient number, since it is larger than the sum of its proper divisors (1).

4098208769 is an equidigital number, since it uses as much as digits as its factorization.

4098208769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 4098208769 is about 64017.2536821129. The cubic root of 4098208769 is about 1600.2875484495.

The spelling of 4098208769 in words is "four billion, ninety-eight million, two hundred eight thousand, seven hundred sixty-nine".