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4041949649 is a prime number
BaseRepresentation
bin1111000011101011…
…0100000111010001
3101102200122022112212
43300322310013101
531234214342044
61505025001505
7202110001523
oct36072640721
911380568485
104041949649
111794636661
12949783295
134c551b7aa
142a4b53a13
15189caea9e
hexf0eb41d1

4041949649 has 2 divisors, whose sum is σ = 4041949650. Its totient is φ = 4041949648.

The previous prime is 4041949627. The next prime is 4041949651. The reversal of 4041949649 is 9469491404.

4041949649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3712708624 + 329241025 = 60932^2 + 18145^2 .

It is a cyclic number.

It is not a de Polignac number, because 4041949649 - 212 = 4041945553 is a prime.

Together with 4041949651, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4041949597 and 4041949606.

It is not a weakly prime, because it can be changed into another prime (4041949619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2020974824 + 2020974825.

It is an arithmetic number, because the mean of its divisors is an integer number (2020974825).

Almost surely, 24041949649 is an apocalyptic number.

It is an amenable number.

4041949649 is a deficient number, since it is larger than the sum of its proper divisors (1).

4041949649 is an equidigital number, since it uses as much as digits as its factorization.

4041949649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 4041949649 is about 63576.3293136683. The cubic root of 4041949649 is about 1592.9310082223.

The spelling of 4041949649 in words is "four billion, forty-one million, nine hundred forty-nine thousand, six hundred forty-nine".