Search a number
-
+
905993133079 is a prime number
BaseRepresentation
bin11010010111100010110…
…01100001110000010111
310012121112012220210021011
431023301121201300113
5104320433220224304
61532112453033051
7122312232365506
oct15136131416027
93177465823234
10905993133079
1131a258560441
12127707325787
13675862bc3b8
1431bc932883d
1518878759c04
hexd2f1661c17

905993133079 has 2 divisors, whose sum is σ = 905993133080. Its totient is φ = 905993133078.

The previous prime is 905993133037. The next prime is 905993133091. The reversal of 905993133079 is 970331399509.

905993133079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (970331399509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905993133079 - 219 = 905992608791 is a prime.

It is a super-3 number, since 3×9059931330793 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (905993133779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452996566539 + 452996566540.

It is an arithmetic number, because the mean of its divisors is an integer number (452996566540).

Almost surely, 2905993133079 is an apocalyptic number.

905993133079 is a deficient number, since it is larger than the sum of its proper divisors (1).

905993133079 is an equidigital number, since it uses as much as digits as its factorization.

905993133079 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6200145, while the sum is 58.

The spelling of 905993133079 in words is "nine hundred five billion, nine hundred ninety-three million, one hundred thirty-three thousand, seventy-nine".