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45749632081 is a prime number
BaseRepresentation
bin101010100110111000…
…111111110001010001
311101002101000002221211
4222212320333301101
51222143401211311
633003405220121
73206501312356
oct524670776121
9141071002854
1045749632081
111844752479a
128a49561641
13441130a31a
14230004662d
1512cb666821
hexaa6e3fc51

45749632081 has 2 divisors, whose sum is σ = 45749632082. Its totient is φ = 45749632080.

The previous prime is 45749632067. The next prime is 45749632153. The reversal of 45749632081 is 18023694754.

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., 43307691025 + 2441941056 = 208105^2 + 49416^2 .

It is a cyclic number.

It is not a de Polignac number, because 45749632081 - 29 = 45749631569 is a prime.

It is a super-2 number, since 2×457496320812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45749632381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22874816040 + 22874816041.

It is an arithmetic number, because the mean of its divisors is an integer number (22874816041).

It is a 1-persistent number, because it is pandigital, but 2⋅45749632081 = 91499264162 is not.

Almost surely, 245749632081 is an apocalyptic number.

It is an amenable number.

45749632081 is a deficient number, since it is larger than the sum of its proper divisors (1).

45749632081 is an equidigital number, since it uses as much as digits as its factorization.

45749632081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 45749632081 in words is "forty-five billion, seven hundred forty-nine million, six hundred thirty-two thousand, eighty-one".