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4084448801 is a prime number
BaseRepresentation
bin1111001101110011…
…1011111000100001
3101112122121111102112
43303130323320201
531331104330201
61513143525105
7203134145666
oct36334737041
911478544375
104084448801
111806623924
1295ba59795
1350127ba14
142aa657a6d
1518d8a70bb
hexf373be21

4084448801 has 2 divisors, whose sum is σ = 4084448802. Its totient is φ = 4084448800.

The previous prime is 4084448789. The next prime is 4084448821. The reversal of 4084448801 is 1088444804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3231808801 + 852640000 = 56849^2 + 29200^2 .

It is a cyclic number.

It is not a de Polignac number, because 4084448801 - 218 = 4084186657 is a prime.

It is not a weakly prime, because it can be changed into another prime (4084448821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042224400 + 2042224401.

It is an arithmetic number, because the mean of its divisors is an integer number (2042224401).

Almost surely, 24084448801 is an apocalyptic number.

It is an amenable number.

4084448801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4084448801 is an equidigital number, since it uses as much as digits as its factorization.

4084448801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131072, while the sum is 41.

The square root of 4084448801 is about 63909.6925434632. The cubic root of 4084448801 is about 1598.4945215336.

The spelling of 4084448801 in words is "four billion, eighty-four million, four hundred forty-eight thousand, eight hundred one".