Search a number
-
+
10556347933 is a prime number
BaseRepresentation
bin10011101010011010…
…10001011000011101
31000020200122001000101
421311031101120131
5133104411113213
64503255101101
7522411322405
oct116515213035
930220561011
1010556347933
11452786849a
122067371791
13cc3041131
14721dc5805
1541bb56bdd
hex27535161d

10556347933 has 2 divisors, whose sum is σ = 10556347934. Its totient is φ = 10556347932.

The previous prime is 10556347889. The next prime is 10556347993. The reversal of 10556347933 is 33974365501.

10556347933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10176370884 + 379977049 = 100878^2 + 19493^2 .

It is a cyclic number.

It is not a de Polignac number, because 10556347933 - 221 = 10554250781 is a prime.

It is a super-2 number, since 2×105563479332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10556347993) 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, 5278173966 + 5278173967.

It is an arithmetic number, because the mean of its divisors is an integer number (5278173967).

Almost surely, 210556347933 is an apocalyptic number.

It is an amenable number.

10556347933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10556347933 is an equidigital number, since it uses as much as digits as its factorization.

10556347933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1020600, while the sum is 46.

The spelling of 10556347933 in words is "ten billion, five hundred fifty-six million, three hundred forty-seven thousand, nine hundred thirty-three".