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12528958193 is a prime number
BaseRepresentation
bin10111010101100100…
…01011101011110001
31012100011110000120122
423222302023223301
5201124403130233
65431123020025
7622323246623
oct135262135361
935304400518
1012528958193
11534a2a7804
122517b0a615
13124891863b
1486bd90c13
154d4e08d98
hex2eac8baf1

12528958193 has 2 divisors, whose sum is σ = 12528958194. Its totient is φ = 12528958192.

The previous prime is 12528958181. The next prime is 12528958217. The reversal of 12528958193 is 39185982521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12519819664 + 9138529 = 111892^2 + 3023^2 .

It is a cyclic number.

It is not a de Polignac number, because 12528958193 - 220 = 12527909617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12528958133) 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, 6264479096 + 6264479097.

It is an arithmetic number, because the mean of its divisors is an integer number (6264479097).

Almost surely, 212528958193 is an apocalyptic number.

It is an amenable number.

12528958193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12528958193 is an equidigital number, since it uses as much as digits as its factorization.

12528958193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555200, while the sum is 53.

The spelling of 12528958193 in words is "twelve billion, five hundred twenty-eight million, nine hundred fifty-eight thousand, one hundred ninety-three".