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4564747657 is a prime number
BaseRepresentation
bin1000100000001010…
…01000010110001001
3102210010101012121001
410100011020112021
533322033411112
62032542215001
7221055500131
oct42005102611
912703335531
104564747657
111a32754528
12a74884461
13579926722
14314361ac1
151bab2cc57
hex110148589

4564747657 has 2 divisors, whose sum is σ = 4564747658. Its totient is φ = 4564747656.

The previous prime is 4564747573. The next prime is 4564747679. The reversal of 4564747657 is 7567474654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2364293376 + 2200454281 = 48624^2 + 46909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4564747657 is a prime.

It is a super-3 number, since 3×45647476573 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4564747598 and 4564747607.

It is not a weakly prime, because it can be changed into another prime (4564747457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2282373828 + 2282373829.

It is an arithmetic number, because the mean of its divisors is an integer number (2282373829).

Almost surely, 24564747657 is an apocalyptic number.

It is an amenable number.

4564747657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4564747657 is an equidigital number, since it uses as much as digits as its factorization.

4564747657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19756800, while the sum is 55.

The square root of 4564747657 is about 67562.9162854890. The cubic root of 4564747657 is about 1658.8441725429.

The spelling of 4564747657 in words is "four billion, five hundred sixty-four million, seven hundred forty-seven thousand, six hundred fifty-seven".