Search a number
-
+
67540568441 is a prime number
BaseRepresentation
bin111110111001101110…
…110100100101111001
320110100000111101000212
4332321232310211321
52101310341142231
651005552440505
74610501234153
oct767156644571
9213300441025
1067540568441
1126709987805
121110b249135
1364a4a506c8
1433aa125ad3
151b5474a42b
hexfb9bb4979

67540568441 has 2 divisors, whose sum is σ = 67540568442. Its totient is φ = 67540568440.

The previous prime is 67540568411. The next prime is 67540568443. The reversal of 67540568441 is 14486504576.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67540213225 + 355216 = 259885^2 + 596^2 .

It is a cyclic number.

It is not a de Polignac number, because 67540568441 - 26 = 67540568377 is a prime.

Together with 67540568443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67540568441.

It is not a weakly prime, because it can be changed into another prime (67540568443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33770284220 + 33770284221.

It is an arithmetic number, because the mean of its divisors is an integer number (33770284221).

Almost surely, 267540568441 is an apocalyptic number.

It is an amenable number.

67540568441 is a deficient number, since it is larger than the sum of its proper divisors (1).

67540568441 is an equidigital number, since it uses as much as digits as its factorization.

67540568441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 67540568441 in words is "sixty-seven billion, five hundred forty million, five hundred sixty-eight thousand, four hundred forty-one".