Search a number
-
+
67126307741 is a prime number
BaseRepresentation
bin111110100001000010…
…100010101110011101
320102021010222202011222
4332201002202232131
52044433313321431
650500513423125
74564311126053
oct764102425635
9212233882158
1067126307741
1126517061599
121101456aaa5
136439c8812c
14336b0cc1d3
151b2d1bb57b
hexfa10a2b9d

67126307741 has 2 divisors, whose sum is σ = 67126307742. Its totient is φ = 67126307740.

The previous prime is 67126307719. The next prime is 67126307747. The reversal of 67126307741 is 14770362176.

67126307741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56107396900 + 11018910841 = 236870^2 + 104971^2 .

It is a cyclic number.

It is not a de Polignac number, because 67126307741 - 222 = 67122113437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67126307692 and 67126307701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67126307747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33563153870 + 33563153871.

It is an arithmetic number, because the mean of its divisors is an integer number (33563153871).

Almost surely, 267126307741 is an apocalyptic number.

It is an amenable number.

67126307741 is a deficient number, since it is larger than the sum of its proper divisors (1).

67126307741 is an equidigital number, since it uses as much as digits as its factorization.

67126307741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 67126307741 in words is "sixty-seven billion, one hundred twenty-six million, three hundred seven thousand, seven hundred forty-one".