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45153510041 is a prime number
BaseRepresentation
bin101010000011010110…
…111110001010011001
311022112211021222020202
4222003112332022121
51214433244310131
632424312231545
73155642334263
oct520326761231
9138484258222
1045153510041
1118170a85452
12890199b5b5
13434796b8a3
142284bccb33
151294162bcb
hexa835be299

45153510041 has 2 divisors, whose sum is σ = 45153510042. Its totient is φ = 45153510040.

The previous prime is 45153510029. The next prime is 45153510049. The reversal of 45153510041 is 14001535154.

45153510041 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., 35864405641 + 9289104400 = 189379^2 + 96380^2 .

It is a cyclic number.

It is not a de Polignac number, because 45153510041 - 26 = 45153509977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45153509986 and 45153510013.

It is not a weakly prime, because it can be changed into another prime (45153510049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22576755020 + 22576755021.

It is an arithmetic number, because the mean of its divisors is an integer number (22576755021).

Almost surely, 245153510041 is an apocalyptic number.

It is an amenable number.

45153510041 is a deficient number, since it is larger than the sum of its proper divisors (1).

45153510041 is an equidigital number, since it uses as much as digits as its factorization.

45153510041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 45153510041 in words is "forty-five billion, one hundred fifty-three million, five hundred ten thousand, forty-one".