Search a number
-
+
10527368393 is a prime number
BaseRepresentation
bin10011100110111101…
…01110010011001001
31000011200002201120002
421303132232103021
5133030001242033
64500342012345
7521610104063
oct116336562311
930150081502
1010527368393
114512474763
1220597170b5
13cba035789
1471c200733
154193303e8
hex2737ae4c9

10527368393 has 2 divisors, whose sum is σ = 10527368394. Its totient is φ = 10527368392.

The previous prime is 10527368377. The next prime is 10527368539. The reversal of 10527368393 is 39386372501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8433116224 + 2094252169 = 91832^2 + 45763^2 .

It is a cyclic number.

It is not a de Polignac number, because 10527368393 - 24 = 10527368377 is a prime.

It is a super-2 number, since 2×105273683932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10527368363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5263684196 + 5263684197.

It is an arithmetic number, because the mean of its divisors is an integer number (5263684197).

Almost surely, 210527368393 is an apocalyptic number.

It is an amenable number.

10527368393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10527368393 is an equidigital number, since it uses as much as digits as its factorization.

10527368393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 10527368393 in words is "ten billion, five hundred twenty-seven million, three hundred sixty-eight thousand, three hundred ninety-three".