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4041768013 is a prime number
BaseRepresentation
bin1111000011101000…
…0111110001001101
3101102200022002101121
43300322013301031
531234143034023
61505021040541
7202105314133
oct36072076115
911380262347
104041768013
111794522148
129496b6151
134c5486c0a
142a4b07753
15189c75d5d
hexf0e87c4d

4041768013 has 2 divisors, whose sum is σ = 4041768014. Its totient is φ = 4041768012.

The previous prime is 4041768011. The next prime is 4041768023. The reversal of 4041768013 is 3108671404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2204959849 + 1836808164 = 46957^2 + 42858^2 .

It is a cyclic number.

It is not a de Polignac number, because 4041768013 - 21 = 4041768011 is a prime.

Together with 4041768011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4041768013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4041768011) 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, 2020884006 + 2020884007.

It is an arithmetic number, because the mean of its divisors is an integer number (2020884007).

Almost surely, 24041768013 is an apocalyptic number.

It is an amenable number.

4041768013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4041768013 is an equidigital number, since it uses as much as digits as its factorization.

4041768013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4041768013 is about 63574.9008099895. The cubic root of 4041768013 is about 1592.9071469692.

The spelling of 4041768013 in words is "four billion, forty-one million, seven hundred sixty-eight thousand, thirteen".