Search a number
-
+
13909103838693 = 3271018232656057
BaseRepresentation
bin1100101001100111011100…
…1100011000010111100101
31211020200211100202112102200
43022121313030120113211
53310341321040314233
645325430514525113
72633620362623610
oct312316714302745
954220740675380
1013909103838693
1144828aa564318
121687816896799
1379b81358060b
143612c0533177
15191c1b052313
hexca6773185e5

13909103838693 has 48 divisors (see below), whose sum is σ = 23216581729536. Its totient is φ = 7859800915200.

The previous prime is 13909103838691. The next prime is 13909103838713. The reversal of 13909103838693 is 39683830190931.

13909103838693 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 91 + 0 + 383 + 86 + 93 = 666.

It is not a de Polignac number, because 13909103838693 - 21 = 13909103838691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13909103838693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13909103838691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3908721 + ... + 6564777.

It is an arithmetic number, because the mean of its divisors is an integer number (483678786032).

Almost surely, 213909103838693 is an apocalyptic number.

It is an amenable number.

13909103838693 is a deficient number, since it is larger than the sum of its proper divisors (9307477890843).

13909103838693 is a wasteful number, since it uses less digits than its factorization.

13909103838693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656994 (or 2656991 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 13909103838693 in words is "thirteen trillion, nine hundred nine billion, one hundred three million, eight hundred thirty-eight thousand, six hundred ninety-three".

Divisors: 1 3 7 9 21 63 101 303 707 823 909 2121 2469 5761 6363 7407 17283 51849 83123 249369 581861 748107 1745583 2656057 5236749 7968171 18592399 23904513 55777197 167331591 268261757 804785271 1877832299 2185934911 2414355813 5633496897 6557804733 15301544377 16900490691 19673414199 45904633131 137713899393 220779426011 662338278033 1545455982077 1987014834099 4636367946231 13909103838693