Search a number
-
+
12768801635767 is a prime number
BaseRepresentation
bin1011100111001111011111…
…1000101011110110110111
31200012200111201222201201111
42321303313320223312313
53133201001204321032
643053523445135451
72455341544052302
oct271636770536667
950180451881644
1012768801635767
114083244706801
1215228199ba587
13718128c333b8
143220286b3b39
1517222c2c2c47
hexb9cf7e2bdb7

12768801635767 has 2 divisors, whose sum is σ = 12768801635768. Its totient is φ = 12768801635766.

The previous prime is 12768801635699. The next prime is 12768801635827. The reversal of 12768801635767 is 76753610886721.

It is a strong prime.

It is an emirp because it is prime and its reverse (76753610886721) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12768801635767 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12768801675767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6384400817883 + 6384400817884.

It is an arithmetic number, because the mean of its divisors is an integer number (6384400817884).

Almost surely, 212768801635767 is an apocalyptic number.

12768801635767 is a deficient number, since it is larger than the sum of its proper divisors (1).

12768801635767 is an equidigital number, since it uses as much as digits as its factorization.

12768801635767 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 142248960, while the sum is 67.

The spelling of 12768801635767 in words is "twelve trillion, seven hundred sixty-eight billion, eight hundred one million, six hundred thirty-five thousand, seven hundred sixty-seven".