Search a number
-
+
338000568781 is a prime number
BaseRepresentation
bin1001110101100100110…
…01110110000111001101
31012022102211200221020111
410322302121312013031
521014211121200111
6415135245120021
733263653300531
oct4726231660715
91168384627214
10338000568781
11120388567047
125560b859011
1325b478a5975
1412505d61bc1
158bd3896a21
hex4eb26761cd

338000568781 has 2 divisors, whose sum is σ = 338000568782. Its totient is φ = 338000568780.

The previous prime is 338000568709. The next prime is 338000568797. The reversal of 338000568781 is 187865000833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323817902500 + 14182666281 = 569050^2 + 119091^2 .

It is a cyclic number.

It is not a de Polignac number, because 338000568781 - 235 = 303640830413 is a prime.

It is a super-3 number, since 3×3380005687813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338000568281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169000284390 + 169000284391.

It is an arithmetic number, because the mean of its divisors is an integer number (169000284391).

Almost surely, 2338000568781 is an apocalyptic number.

It is an amenable number.

338000568781 is a deficient number, since it is larger than the sum of its proper divisors (1).

338000568781 is an equidigital number, since it uses as much as digits as its factorization.

338000568781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 338000568781 in words is "three hundred thirty-eight billion, five hundred sixty-eight thousand, seven hundred eighty-one".