Search a number
-
+
705900950393 is a prime number
BaseRepresentation
bin10100100010110101111…
…10011011001101111001
32111111001110011201220012
422101122332123031321
543031141120403033
61300141511111305
7101666612035352
oct12213276331571
92444043151805
10705900950393
11252409758001
12b4984972535
1351748b65972
1426246cccd29
1513567177248
hexa45af9b379

705900950393 has 2 divisors, whose sum is σ = 705900950394. Its totient is φ = 705900950392.

The previous prime is 705900950311. The next prime is 705900950401. The reversal of 705900950393 is 393059009507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 530279609209 + 175621341184 = 728203^2 + 419072^2 .

It is an emirp because it is prime and its reverse (393059009507) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-705900950393 is a prime.

It is not a weakly prime, because it can be changed into another prime (705900950303) 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, 352950475196 + 352950475197.

It is an arithmetic number, because the mean of its divisors is an integer number (352950475197).

Almost surely, 2705900950393 is an apocalyptic number.

It is an amenable number.

705900950393 is a deficient number, since it is larger than the sum of its proper divisors (1).

705900950393 is an equidigital number, since it uses as much as digits as its factorization.

705900950393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1148175, while the sum is 50.

The spelling of 705900950393 in words is "seven hundred five billion, nine hundred million, nine hundred fifty thousand, three hundred ninety-three".