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18763794361 = 1324122572
BaseRepresentation
bin10001011110011010…
…001100011110111001
31210102200101111220201
4101132122030132321
5301412012404421
612341525122201
71232661422554
oct213632143671
953380344821
1018763794361
117a59744474
123777b59361
131a00547a00
14ca004d69b
1574c47cb91
hex45e68c7b9

18763794361 has 27 divisors (see below), whose sum is σ = 20907193863. Its totient is φ = 16832225280.

The previous prime is 18763794341. The next prime is 18763794391. The reversal of 18763794361 is 16349736781.

The square root of 18763794361 is 136981.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14588049961 + 4175744400 = 120781^2 + 64620^2 .

It is not a de Polignac number, because 18763794361 - 27 = 18763794233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18763794311) 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 26 ways as a sum of consecutive naturals, for example, 73010745 + ... + 73011001.

Almost surely, 218763794361 is an apocalyptic number.

18763794361 is the 136981-st square number.

18763794361 is the 68491-st centered octagonal number.

It is an amenable number.

18763794361 is a deficient number, since it is larger than the sum of its proper divisors (2143399502).

18763794361 is an frugal number, since it uses more digits than its factorization.

18763794361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 55.

The spelling of 18763794361 in words is "eighteen billion, seven hundred sixty-three million, seven hundred ninety-four thousand, three hundred sixty-one".

Divisors: 1 13 41 169 257 533 1681 3341 6929 10537 21853 43433 66049 136981 284089 432017 858637 1780753 2708009 5616221 11162281 35204117 73010873 111028369 457653521 1443368797 18763794361