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4505727757 is a prime number
BaseRepresentation
bin1000011001000111…
…11111001100001101
3102122000022200111211
410030203333030031
533211431242012
62023033214421
7216441024346
oct41443771415
912560280454
104505727757
111a02402a53
12a58b61411
1356a6308cb
1430a59b0cd
151b58706a7
hex10c8ff30d

4505727757 has 2 divisors, whose sum is σ = 4505727758. Its totient is φ = 4505727756.

The previous prime is 4505727731. The next prime is 4505727769. The reversal of 4505727757 is 7577275054.

It is a happy number.

4505727757 is digitally balanced in base 3, 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., 2818654281 + 1687073476 = 53091^2 + 41074^2 .

It is a cyclic number.

It is not a de Polignac number, because 4505727757 - 227 = 4371510029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4505727757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4505724757) 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, 2252863878 + 2252863879.

It is an arithmetic number, because the mean of its divisors is an integer number (2252863879).

Almost surely, 24505727757 is an apocalyptic number.

It is an amenable number.

4505727757 is a deficient number, since it is larger than the sum of its proper divisors (1).

4505727757 is an equidigital number, since it uses as much as digits as its factorization.

4505727757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2401000, while the sum is 49.

The square root of 4505727757 is about 67124.7179286438. The cubic root of 4505727757 is about 1651.6637954977.

It can be divided in two parts, 450572 and 7757, that added together give a square (458329 = 6772).

The spelling of 4505727757 in words is "four billion, five hundred five million, seven hundred twenty-seven thousand, seven hundred fifty-seven".