Search a number
-
+
54511177960769 is a prime number
BaseRepresentation
bin11000110010011110111110…
…11001100000110101000001
321011000012212201100220211112
430121033133121200311001
524121102343024221034
6311534031153053105
714324205543412535
oct1431173731406501
9234005781326745
1054511177960769
1116407073945562
12614476b257195
1324554c740273a
14d664d8523bc5
15647e62c417ce
hex3193df660d41

54511177960769 has 2 divisors, whose sum is σ = 54511177960770. Its totient is φ = 54511177960768.

The previous prime is 54511177960753. The next prime is 54511177960843. The reversal of 54511177960769 is 96706977111545.

54511177960769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42452886985744 + 12058290975025 = 6515588^2 + 3472505^2 .

It is a cyclic number.

It is not a de Polignac number, because 54511177960769 - 24 = 54511177960753 is a prime.

It is a super-2 number, since 2×545111779607692 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54511177960699 and 54511177960708.

It is not a weakly prime, because it can be changed into another prime (54511177990769) 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, 27255588980384 + 27255588980385.

It is an arithmetic number, because the mean of its divisors is an integer number (27255588980385).

Almost surely, 254511177960769 is an apocalyptic number.

It is an amenable number.

54511177960769 is a deficient number, since it is larger than the sum of its proper divisors (1).

54511177960769 is an equidigital number, since it uses as much as digits as its factorization.

54511177960769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100018800, while the sum is 68.

The spelling of 54511177960769 in words is "fifty-four trillion, five hundred eleven billion, one hundred seventy-seven million, nine hundred sixty thousand, seven hundred sixty-nine".