Search a number
-
+
8004446561 is a prime number
BaseRepresentation
bin1110111010001101…
…00010100101100001
3202122211210000102202
413131012202211201
5112343114242221
63402135022545
7402233446616
oct73506424541
922584700382
108004446561
1134383351a1
12167480aa55
139a743c017
1455d10450d
1531cac7d0b
hex1dd1a2961

8004446561 has 2 divisors, whose sum is σ = 8004446562. Its totient is φ = 8004446560.

The previous prime is 8004446537. The next prime is 8004446587. The reversal of 8004446561 is 1656444008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7177308961 + 827137600 = 84719^2 + 28760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8004446561 is a prime.

It is not a weakly prime, because it can be changed into another prime (8004448561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002223280 + 4002223281.

It is an arithmetic number, because the mean of its divisors is an integer number (4002223281).

Almost surely, 28004446561 is an apocalyptic number.

It is an amenable number.

8004446561 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004446561 is an equidigital number, since it uses as much as digits as its factorization.

8004446561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 8004446561 is about 89467.5726785968. The cubic root of 8004446561 is about 2000.3704781187.

The spelling of 8004446561 in words is "eight billion, four million, four hundred forty-six thousand, five hundred sixty-one".