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4646400841 is a prime number
BaseRepresentation
bin1000101001111001…
…00111001101001001
3102222211000121201001
410110330213031021
534003434311331
62045020255001
7223066520065
oct42474471511
912884017631
104646400841
111a748547a5
12a980a1461
13590815414
14321138aa5
151c2dab561
hex114f27349

4646400841 has 2 divisors, whose sum is σ = 4646400842. Its totient is φ = 4646400840.

The previous prime is 4646400823. The next prime is 4646400853. The reversal of 4646400841 is 1480046464.

4646400841 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., 3872448441 + 773952400 = 62229^2 + 27820^2 .

It is a cyclic number.

It is not a de Polignac number, because 4646400841 - 221 = 4644303689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4646400841.

It is not a weakly prime, because it can be changed into another prime (4646400881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2323200420 + 2323200421.

It is an arithmetic number, because the mean of its divisors is an integer number (2323200421).

Almost surely, 24646400841 is an apocalyptic number.

It is an amenable number.

4646400841 is a deficient number, since it is larger than the sum of its proper divisors (1).

4646400841 is an equidigital number, since it uses as much as digits as its factorization.

4646400841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 4646400841 is about 68164.5130621499. The cubic root of 4646400841 is about 1668.6767867069.

The spelling of 4646400841 in words is "four billion, six hundred forty-six million, four hundred thousand, eight hundred forty-one".