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12364133993 is a prime number
BaseRepresentation
bin10111000001111010…
…11011011001101001
31011220200022002021122
423200331123121221
5200310204241433
65402514145025
7615252255611
oct134075333151
934820262248
1012364133993
11527525a962
122490882175
131220729123
14854127a41
154c56ec198
hex2e0f5b669

12364133993 has 2 divisors, whose sum is σ = 12364133994. Its totient is φ = 12364133992.

The previous prime is 12364133953. The next prime is 12364134001. The reversal of 12364133993 is 39933146321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10735446544 + 1628687449 = 103612^2 + 40357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12364133993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12364133923) 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, 6182066996 + 6182066997.

It is an arithmetic number, because the mean of its divisors is an integer number (6182066997).

Almost surely, 212364133993 is an apocalyptic number.

It is an amenable number.

12364133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12364133993 is an equidigital number, since it uses as much as digits as its factorization.

12364133993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 44.

The spelling of 12364133993 in words is "twelve billion, three hundred sixty-four million, one hundred thirty-three thousand, nine hundred ninety-three".