Search a number
-
+
67381493759953 is a prime number
BaseRepresentation
bin11110101001000011110011…
…11111111111111111010001
322211120121102011011110112021
433110201321333333333101
532312434244400304303
6355150344135131441
720123103141601222
oct1724417177777721
9284517364143467
1067381493759953
111a51937066078a
127682b99b13b81
132b7a080756449
14128d3d2da7249
157bcb32144ebd
hex3d4879ffffd1

67381493759953 has 2 divisors, whose sum is σ = 67381493759954. Its totient is φ = 67381493759952.

The previous prime is 67381493759939. The next prime is 67381493760047. The reversal of 67381493759953 is 35995739418376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55536656053264 + 11844837706689 = 7452292^2 + 3441633^2 .

It is a cyclic number.

It is not a de Polignac number, because 67381493759953 - 29 = 67381493759441 is a prime.

It is not a weakly prime, because it can be changed into another prime (67381493759933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33690746879976 + 33690746879977.

It is an arithmetic number, because the mean of its divisors is an integer number (33690746879977).

Almost surely, 267381493759953 is an apocalyptic number.

It is an amenable number.

67381493759953 is a deficient number, since it is larger than the sum of its proper divisors (1).

67381493759953 is an equidigital number, since it uses as much as digits as its factorization.

67381493759953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4629441600, while the sum is 79.

The spelling of 67381493759953 in words is "sixty-seven trillion, three hundred eighty-one billion, four hundred ninety-three million, seven hundred fifty-nine thousand, nine hundred fifty-three".