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4764828641 is a prime number
BaseRepresentation
bin1000111000000000…
…11000001111100001
3110022001212101002212
410130000120033201
534224244004031
62104450451505
7226035242456
oct43400301741
913261771085
104764828641
112025692311
12b0b893b95
135ac20b841
14332b6582d
151cd4a112b
hex11c0183e1

4764828641 has 2 divisors, whose sum is σ = 4764828642. Its totient is φ = 4764828640.

The previous prime is 4764828623. The next prime is 4764828643. The reversal of 4764828641 is 1468284674.

It is a happy number.

4764828641 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., 4129990225 + 634838416 = 64265^2 + 25196^2 .

It is a cyclic number.

It is not a de Polignac number, because 4764828641 - 214 = 4764812257 is a prime.

Together with 4764828643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4764828641.

It is not a weakly prime, because it can be changed into another prime (4764828643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2382414320 + 2382414321.

It is an arithmetic number, because the mean of its divisors is an integer number (2382414321).

Almost surely, 24764828641 is an apocalyptic number.

It is an amenable number.

4764828641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4764828641 is an equidigital number, since it uses as much as digits as its factorization.

4764828641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2064384, while the sum is 50.

The square root of 4764828641 is about 69027.7381999439. The cubic root of 4764828641 is about 1682.7351328117.

The spelling of 4764828641 in words is "four billion, seven hundred sixty-four million, eight hundred twenty-eight thousand, six hundred forty-one".