Search a number
-
+
4001218682933 is a prime number
BaseRepresentation
bin111010001110011011001…
…101111110000000110101
3112011111211210212012122002
4322032123031332000311
51011023443440323213
612302045014345045
7562035633433433
oct72163315760065
915144753765562
104001218682933
1113029a86a914a
1254756805b185
1323040c4319b4
14db935133d53
156e132e86658
hex3a39b37e035

4001218682933 has 2 divisors, whose sum is σ = 4001218682934. Its totient is φ = 4001218682932.

The previous prime is 4001218682869. The next prime is 4001218682947. The reversal of 4001218682933 is 3392868121004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3631284681649 + 369934001284 = 1905593^2 + 608222^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001218682933 - 26 = 4001218682869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001218682983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000609341466 + 2000609341467.

It is an arithmetic number, because the mean of its divisors is an integer number (2000609341467).

Almost surely, 24001218682933 is an apocalyptic number.

It is an amenable number.

4001218682933 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001218682933 is an equidigital number, since it uses as much as digits as its factorization.

4001218682933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 4001218682933 in words is "four trillion, one billion, two hundred eighteen million, six hundred eighty-two thousand, nine hundred thirty-three".