Search a number
-
+
643106753041 is a prime number
BaseRepresentation
bin10010101101111000010…
…01100100101000010001
32021110222012210222222011
421112330021210220101
541014040312044131
61211234505342521
764314533130604
oct11267411445021
92243865728864
10643106753041
11228815aa6135
12a477b197a41
134884c56077c
14231ab2c633b
1511ade4840b1
hex95bc264a11

643106753041 has 2 divisors, whose sum is σ = 643106753042. Its totient is φ = 643106753040.

The previous prime is 643106752843. The next prime is 643106753101. The reversal of 643106753041 is 140357601346.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 526344446016 + 116762307025 = 725496^2 + 341705^2 .

It is a cyclic number.

It is not a de Polignac number, because 643106753041 - 213 = 643106744849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 643106752985 and 643106753003.

It is not a weakly prime, because it can be changed into another prime (643106754041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321553376520 + 321553376521.

It is an arithmetic number, because the mean of its divisors is an integer number (321553376521).

Almost surely, 2643106753041 is an apocalyptic number.

It is an amenable number.

643106753041 is a deficient number, since it is larger than the sum of its proper divisors (1).

643106753041 is an equidigital number, since it uses as much as digits as its factorization.

643106753041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 643106753041 in words is "six hundred forty-three billion, one hundred six million, seven hundred fifty-three thousand, forty-one".