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17218508805 = 325382633529
BaseRepresentation
bin10000000010010011…
…011001100000000101
31122102222122212122100
4100002103121200011
5240230414240210
611524324222313
71146455624061
oct200223314005
948388585570
1017218508805
117336443573
12340653a999
13181535b164
14b94b1caa1
156ab98a5c0
hex4024d9805

17218508805 has 12 divisors (see below), whose sum is σ = 29845415340. Its totient is φ = 9183204672.

The previous prime is 17218508773. The next prime is 17218508809. The reversal of 17218508805 is 50880581271.

It can be written as a sum of positive squares in 2 ways, for example, as 7754915844 + 9463592961 = 88062^2 + 97281^2 .

It is not a de Polignac number, because 17218508805 - 25 = 17218508773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 382633529 = 17218508805 / (1 + 7 + 2 + 1 + 8 + 5 + 0 + 8 + 8 + 0 + 5).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17218508809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191316720 + ... + 191316809.

It is an arithmetic number, because the mean of its divisors is an integer number (2487117945).

Almost surely, 217218508805 is an apocalyptic number.

17218508805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17218508805 is a deficient number, since it is larger than the sum of its proper divisors (12626906535).

17218508805 is a wasteful number, since it uses less digits than its factorization.

17218508805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382633540 (or 382633537 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 17218508805 in words is "seventeen billion, two hundred eighteen million, five hundred eight thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 382633529 1147900587 1913167645 3443701761 5739502935 17218508805