Search a number
-
+
64146707374229 is a prime number
BaseRepresentation
bin11101001010111010100011…
…01101001110000010010101
322102010100212022220000100022
432211131101231032002111
531401434424041433404
6344232331320354525
716340306131153004
oct1645352155160225
9272110768800308
1064146707374229
11194915140143a7
12724008a615a45
1329a4015a266ac
1411baa0800ac3b
1576390a5448be
hex3a5751b4e095

64146707374229 has 2 divisors, whose sum is σ = 64146707374230. Its totient is φ = 64146707374228.

The previous prime is 64146707374199. The next prime is 64146707374261. The reversal of 64146707374229 is 92247370764146.

64146707374229 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., 44433089614225 + 19713617760004 = 6665815^2 + 4440002^2 .

It is a cyclic number.

It is not a de Polignac number, because 64146707374229 - 228 = 64146438938773 is a prime.

It is a super-2 number, since 2×641467073742292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64146707376229) 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, 32073353687114 + 32073353687115.

It is an arithmetic number, because the mean of its divisors is an integer number (32073353687115).

Almost surely, 264146707374229 is an apocalyptic number.

It is an amenable number.

64146707374229 is a deficient number, since it is larger than the sum of its proper divisors (1).

64146707374229 is an equidigital number, since it uses as much as digits as its factorization.

64146707374229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85349376, while the sum is 62.

The spelling of 64146707374229 in words is "sixty-four trillion, one hundred forty-six billion, seven hundred seven million, three hundred seventy-four thousand, two hundred twenty-nine".