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4806648001 is a prime number
BaseRepresentation
bin1000111100111111…
…11010000011000001
3110101222120000111001
410132133322003001
534321000214001
62112543052001
7230053556011
oct43637720301
913358500431
104806648001
112047255871
12b218a1001
135b7a9151c
1433852dc41
151d1eb2001
hex11e7fa0c1

4806648001 has 2 divisors, whose sum is σ = 4806648002. Its totient is φ = 4806648000.

The previous prime is 4806647977. The next prime is 4806648013. The reversal of 4806648001 is 1008466084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4604979600 + 201668401 = 67860^2 + 14201^2 .

It is a cyclic number.

It is not a de Polignac number, because 4806648001 - 211 = 4806645953 is a prime.

It is a super-3 number, since 3×48066480013 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (4806648061) 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, 2403324000 + 2403324001.

It is an arithmetic number, because the mean of its divisors is an integer number (2403324001).

Almost surely, 24806648001 is an apocalyptic number.

It is an amenable number.

4806648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4806648001 is an equidigital number, since it uses as much as digits as its factorization.

4806648001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 4806648001 is about 69329.9935165149. The cubic root of 4806648001 is about 1687.6437409593.

It can be divided in two parts, 480 and 6648001, that added together give a triangular number (6648481 = T3646).

The spelling of 4806648001 in words is "four billion, eight hundred six million, six hundred forty-eight thousand, one".