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12765290924093 is a prime number
BaseRepresentation
bin1011100111000010011010…
…1000011000100000111101
31200012100110001222002200012
42321300212220120200331
53133121303434032333
643052143234313005
72455155544360301
oct271604650304075
950170401862605
1012765290924093
114081802a330a4
121521bba128765
137179b97b6306
14321bb4327d01
151720c3e9be48
hexb9c26a1883d

12765290924093 has 2 divisors, whose sum is σ = 12765290924094. Its totient is φ = 12765290924092.

The previous prime is 12765290924011. The next prime is 12765290924101. The reversal of 12765290924093 is 39042909256721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7481554269049 + 5283736655044 = 2735243^2 + 2298638^2 .

It is a cyclic number.

It is not a de Polignac number, because 12765290924093 - 28 = 12765290923837 is a prime.

It is a super-3 number, since 3×127652909240933 (a number of 40 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 (12765290924593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6382645462046 + 6382645462047.

It is an arithmetic number, because the mean of its divisors is an integer number (6382645462047).

Almost surely, 212765290924093 is an apocalyptic number.

It is an amenable number.

12765290924093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12765290924093 is an equidigital number, since it uses as much as digits as its factorization.

12765290924093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 12765290924093 in words is "twelve trillion, seven hundred sixty-five billion, two hundred ninety million, nine hundred twenty-four thousand, ninety-three".