Search a number
-
+
1006644673 is a prime number
BaseRepresentation
bin111100000000000…
…010110111000001
32121011011211220001
4330000002313001
54030200112143
6243515520001
733642224056
oct7400026701
92534154801
101006644673
11477252051
12241159001
13130725748
149799b02d
155d59514d
hex3c002dc1

1006644673 has 2 divisors, whose sum is σ = 1006644674. Its totient is φ = 1006644672.

The previous prime is 1006644659. The next prime is 1006644697. The reversal of 1006644673 is 3764466001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999065664 + 7579009 = 31608^2 + 2753^2 .

It is an emirp because it is prime and its reverse (3764466001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006644673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006641673) 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, 503322336 + 503322337.

It is an arithmetic number, because the mean of its divisors is an integer number (503322337).

Almost surely, 21006644673 is an apocalyptic number.

It is an amenable number.

1006644673 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006644673 is an equidigital number, since it uses as much as digits as its factorization.

1006644673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 1006644673 is about 31727.6641592160. The cubic root of 1006644673 is about 1002.2100032875.

The spelling of 1006644673 in words is "one billion, six million, six hundred forty-four thousand, six hundred seventy-three".