Search a number
-
+
193008646913 is a prime number
BaseRepresentation
bin1011001111000000110…
…1100011101100000001
3200110012002211011001012
42303300031203230001
511130240203200123
6224400021050305
716641635300255
oct2636015435401
9613162734035
10193008646913
1174944393145
12314a6256995
131527ba52c64
1494ad776265
1550497b7378
hex2cf0363b01

193008646913 has 2 divisors, whose sum is σ = 193008646914. Its totient is φ = 193008646912.

The previous prime is 193008646867. The next prime is 193008646921. The reversal of 193008646913 is 319646800391.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184287328369 + 8721318544 = 429287^2 + 93388^2 .

It is a cyclic number.

It is not a de Polignac number, because 193008646913 - 210 = 193008645889 is a prime.

It is not a weakly prime, because it can be changed into another prime (193008646993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96504323456 + 96504323457.

It is an arithmetic number, because the mean of its divisors is an integer number (96504323457).

Almost surely, 2193008646913 is an apocalyptic number.

It is an amenable number.

193008646913 is a deficient number, since it is larger than the sum of its proper divisors (1).

193008646913 is an equidigital number, since it uses as much as digits as its factorization.

193008646913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 193008646913 in words is "one hundred ninety-three billion, eight million, six hundred forty-six thousand, nine hundred thirteen".