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45726716177 is a prime number
BaseRepresentation
bin101010100101100001…
…100101000100010001
311101000202212212020122
4222211201211010101
51222122014404202
633001230120025
73206102450222
oct524541450421
9141022785218
1045726716177
11184355a272a
128a41950015
13440964590c
1422dad9d249
1512c963b9a2
hexaa5865111

45726716177 has 2 divisors, whose sum is σ = 45726716178. Its totient is φ = 45726716176.

The previous prime is 45726716143. The next prime is 45726716179. The reversal of 45726716177 is 77161762754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28496478481 + 17230237696 = 168809^2 + 131264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45726716177 is a prime.

Together with 45726716179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45726716179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22863358088 + 22863358089.

It is an arithmetic number, because the mean of its divisors is an integer number (22863358089).

Almost surely, 245726716177 is an apocalyptic number.

It is an amenable number.

45726716177 is a deficient number, since it is larger than the sum of its proper divisors (1).

45726716177 is an equidigital number, since it uses as much as digits as its factorization.

45726716177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3457440, while the sum is 53.

The spelling of 45726716177 in words is "forty-five billion, seven hundred twenty-six million, seven hundred sixteen thousand, one hundred seventy-seven".