Search a number
-
+
2001767041 is a prime number
BaseRepresentation
bin111011101010000…
…1000101010000001
312011111200022011001
41313110020222001
513044423021131
6530344452001
7100414511341
oct16724105201
95144608131
102001767041
11937a4422a
1247a47a001
1325b945751
1414dbd8d21
15bab11261
hex77508a81

2001767041 has 2 divisors, whose sum is σ = 2001767042. Its totient is φ = 2001767040.

The previous prime is 2001766969. The next prime is 2001767063. The reversal of 2001767041 is 1407671002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1245737025 + 756030016 = 35295^2 + 27496^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001767041 - 219 = 2001242753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001767071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000883520 + 1000883521.

It is an arithmetic number, because the mean of its divisors is an integer number (1000883521).

Almost surely, 22001767041 is an apocalyptic number.

It is an amenable number.

2001767041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001767041 is an equidigital number, since it uses as much as digits as its factorization.

2001767041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 2001767041 is about 44741.1113071636. Note that the first 3 decimals coincide. The cubic root of 2001767041 is about 1260.2919960288.

The spelling of 2001767041 in words is "two billion, one million, seven hundred sixty-seven thousand, forty-one".