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906298288009 = 9519972
BaseRepresentation
bin11010011000000111001…
…01100110011110001001
310012122022111010021010121
431030003211212132021
5104322044330204014
61532203033343241
7122322626225152
oct15140345463611
93178274107117
10906298288009
1131a3a48358a4
12127791567b21
13676045a364a
1431c17a80929
1518895436124
hexd303966789

906298288009 has 3 divisors (see below), whose sum is σ = 906299240007. Its totient is φ = 906297336012.

The previous prime is 906298287997. The next prime is 906298288019. The reversal of 906298288009 is 900882892609.

The square root of 906298288009 is 951997.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 900882892609 = 7128697556087.

It can be written as a sum of positive squares in only one way, i.e., 85875372025 + 820422915984 = 293045^2 + 905772^2 .

It is not a de Polignac number, because 906298288009 - 221 = 906296190857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906298288019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 475999 + ... + 1427995.

It is an arithmetic number, because the mean of its divisors is an integer number (302099746669).

Almost surely, 2906298288009 is an apocalyptic number.

906298288009 is the 951997-th square number.

906298288009 is the 475999-th centered octagonal number.

It is an amenable number.

906298288009 is a deficient number, since it is larger than the sum of its proper divisors (951998).

906298288009 is an frugal number, since it uses more digits than its factorization.

906298288009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903994 (or 951997 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 906298288009 in words is "nine hundred six billion, two hundred ninety-eight million, two hundred eighty-eight thousand, nine".

Divisors: 1 951997 906298288009