Search a number
-
+
4648976641 is a prime number
BaseRepresentation
bin1000101010001100…
…11100000100000001
3102222222212111001001
410111012130010001
534010114223031
62045151412001
7223130435521
oct42506340401
912888774031
104648976641
111a76253a61
12a98b24001
1359120796a
14321609681
151c3219861
hex11519c101

4648976641 has 2 divisors, whose sum is σ = 4648976642. Its totient is φ = 4648976640.

The previous prime is 4648976623. The next prime is 4648976653. The reversal of 4648976641 is 1466798464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2430095616 + 2218881025 = 49296^2 + 47105^2 .

It is a cyclic number.

It is not a de Polignac number, because 4648976641 - 211 = 4648974593 is a prime.

It is a super-2 number, since 2×46489766412 = 43225967617127285762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4648376641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2324488320 + 2324488321.

It is an arithmetic number, because the mean of its divisors is an integer number (2324488321).

Almost surely, 24648976641 is an apocalyptic number.

It is an amenable number.

4648976641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4648976641 is an equidigital number, since it uses as much as digits as its factorization.

4648976641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6967296, while the sum is 55.

The square root of 4648976641 is about 68183.4044397902. The cubic root of 4648976641 is about 1668.9850815073.

The spelling of 4648976641 in words is "four billion, six hundred forty-eight million, nine hundred seventy-six thousand, six hundred forty-one".