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4046747041 is a prime number
BaseRepresentation
bin1111000100110100…
…0111010110100001
3101110000200001100001
43301031013112201
531241431401131
61505315500001
7202165532221
oct36115072641
911400601301
104046747041
111797312a47
1294b2b7601
134c650b29c
142a5642081
1518a40b261
hexf13475a1

4046747041 has 2 divisors, whose sum is σ = 4046747042. Its totient is φ = 4046747040.

The previous prime is 4046747009. The next prime is 4046747051. The reversal of 4046747041 is 1407476404.

4046747041 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., 3670542225 + 376204816 = 60585^2 + 19396^2 .

It is a cyclic number.

It is not a de Polignac number, because 4046747041 - 25 = 4046747009 is a prime.

It is a super-2 number, since 2×40467470412 = 32752323227684511362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4046747051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2023373520 + 2023373521.

It is an arithmetic number, because the mean of its divisors is an integer number (2023373521).

Almost surely, 24046747041 is an apocalyptic number.

It is an amenable number.

4046747041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4046747041 is an equidigital number, since it uses as much as digits as its factorization.

4046747041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 4046747041 is about 63614.0475131083. The cubic root of 4046747041 is about 1593.5609759139.

The spelling of 4046747041 in words is "four billion, forty-six million, seven hundred forty-seven thousand, forty-one".