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21361742717 = 721731780897
BaseRepresentation
bin10011111001010000…
…100101001101111101
32001010201212222002012
4103321100211031331
5322222101231332
613451412141005
71354235550200
oct237120451575
961121788065
1021361742717
119072168527
124182007765
13202584cb63
1410690b9937
158505a53b2
hex4f942537d

21361742717 has 24 divisors (see below), whose sum is σ = 26394428664. Its totient is φ = 17178427392.

The previous prime is 21361742713. The next prime is 21361742737. The reversal of 21361742717 is 71724716312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4991563801 + 16370178916 = 70651^2 + 127946^2 .

It is not a de Polignac number, because 21361742717 - 22 = 21361742713 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21361742711) 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 23 ways as a sum of consecutive naturals, for example, 223613 + ... + 304509.

It is an arithmetic number, because the mean of its divisors is an integer number (1099767861).

Almost surely, 221361742717 is an apocalyptic number.

It is an amenable number.

21361742717 is a deficient number, since it is larger than the sum of its proper divisors (5032685947).

21361742717 is a wasteful number, since it uses less digits than its factorization.

21361742717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81245 (or 81238 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The spelling of 21361742717 in words is "twenty-one billion, three hundred sixty-one million, seven hundred forty-two thousand, seven hundred seventeen".

Divisors: 1 7 17 49 119 317 833 2219 5389 15533 37723 80897 264061 566279 1375249 3963953 9626743 25644349 67387201 179510443 435953933 1256573101 3051677531 21361742717