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12961965733 is a prime number
BaseRepresentation
bin11000001001001011…
…11110011010100101
31020110100020002020221
430010211332122211
5203021230400413
65542111524341
7636131614363
oct140445763245
936410202227
1012961965733
115551767782
122618b296b1
1312b7545b12
148ad6a8633
1550ce3c68d
hex30497e6a5

12961965733 has 2 divisors, whose sum is σ = 12961965734. Its totient is φ = 12961965732.

The previous prime is 12961965719. The next prime is 12961965749. The reversal of 12961965733 is 33756916921.

12961965733 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., 12948846849 + 13118884 = 113793^2 + 3622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12961965733 is a prime.

It is a super-3 number, since 3×129619657333 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12961965713) 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, 6480982866 + 6480982867.

It is an arithmetic number, because the mean of its divisors is an integer number (6480982867).

Almost surely, 212961965733 is an apocalyptic number.

It is an amenable number.

12961965733 is a deficient number, since it is larger than the sum of its proper divisors (1).

12961965733 is an equidigital number, since it uses as much as digits as its factorization.

12961965733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1837080, while the sum is 52.

The spelling of 12961965733 in words is "twelve billion, nine hundred sixty-one million, nine hundred sixty-five thousand, seven hundred thirty-three".