Search a number
-
+
13475811857431 = 74111745976529
BaseRepresentation
bin1100010000011001010011…
…1110101001010000010111
31202201021102111110021201211
43010012110332221100113
53231241430313414211
644354411424002251
72560411115560000
oct304062476512027
952637374407654
1013475811857431
114326072530720
121617852160387
137699c08449a1
14348338a361a7
1518580ba12e21
hexc4194fa9417

13475811857431 has 80 divisors (see below), whose sum is σ = 18165569099040. Its totient is φ = 9879285104640.

The previous prime is 13475811857423. The next prime is 13475811857509.

13475811857431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13475811857431 - 23 = 13475811857423 is a prime.

It is a super-2 number, since 2×134758118574312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13475811857231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2063989975 + ... + 2063996503.

It is an arithmetic number, because the mean of its divisors is an integer number (227069613738).

Almost surely, 213475811857431 is an apocalyptic number.

13475811857431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13475811857431 is a deficient number, since it is larger than the sum of its proper divisors (4689757241609).

13475811857431 is an equidigital number, since it uses as much as digits as its factorization.

13475811857431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11161 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 58.

The spelling of 13475811857431 in words is "thirteen trillion, four hundred seventy-five billion, eight hundred eleven million, eight hundred fifty-seven thousand, four hundred thirty-one".

Divisors: 1 7 11 17 49 77 119 187 343 539 833 1309 2401 3773 4597 5831 6529 9163 26411 32179 40817 45703 50567 64141 71819 78149 110993 225253 319921 353969 448987 502733 547043 776951 859639 1220923 1576771 2239447 2477783 3519131 3829301 5438657 6017473 8546461 11037397 15676129 17344481 24633917 26805107 30013813 38070599 42122311 59825227 121411367 172437419 187635749 210096691 266494193 294856177 330151943 418776589 510234821 1470676837 2063993239 2311063601 2931436123 3571643747 5612583031 10294737859 16177445207 25001506229 39288081217 72063165013 113242116449 175010543603 275016568519 792694815143 1225073805221 1925115979633 13475811857431