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10591144933 is a prime number
BaseRepresentation
bin10011101110100100…
…00000101111100101
31000100010002220112011
421313102000233211
5133142313114213
64510540554221
7523313150365
oct116722005745
930303086464
1010591144933
114545474a46
122076b52971
13cca305685
147268829a5
1541ec2c03d
hex277480be5

10591144933 has 2 divisors, whose sum is σ = 10591144934. Its totient is φ = 10591144932.

The previous prime is 10591144871. The next prime is 10591144937. The reversal of 10591144933 is 33944119501.

10591144933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8118370404 + 2472774529 = 90102^2 + 49727^2 .

It is a cyclic number.

It is not a de Polignac number, because 10591144933 - 213 = 10591136741 is a prime.

It is a super-4 number, since 4×105911449334 (a number of 41 digits) contains 4444 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 (10591144937) 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, 5295572466 + 5295572467.

It is an arithmetic number, because the mean of its divisors is an integer number (5295572467).

Almost surely, 210591144933 is an apocalyptic number.

It is an amenable number.

10591144933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10591144933 is an equidigital number, since it uses as much as digits as its factorization.

10591144933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 10591144933 in words is "ten billion, five hundred ninety-one million, one hundred forty-four thousand, nine hundred thirty-three".