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11113317585378 = 2331982113193293
BaseRepresentation
bin1010000110111000010101…
…0110001101000111100010
31110100102102012200110021000
42201232011112031013202
52424040033300213003
635345215420412430
72224624240600341
oct241560526150742
943312365613230
1011113317585378
1135a514a065018
1212b5a036a7116
13627c9b04c618
142a5c5d1d1b58
15144139b7a1a3
hexa1b8558d1e2

11113317585378 has 64 divisors (see below), whose sum is σ = 26027730403200. Its totient is φ = 3505193818560.

The previous prime is 11113317585373. The next prime is 11113317585479. The reversal of 11113317585378 is 87358571331111.

11113317585378 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 31 + 75 + 8 + 537 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11113317585373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5754301 + ... + 7438992.

It is an arithmetic number, because the mean of its divisors is an integer number (406683287550).

Almost surely, 211113317585378 is an apocalyptic number.

11113317585378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11113317585378 is an abundant number, since it is smaller than the sum of its proper divisors (14914412817822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11113317585378 is a wasteful number, since it uses less digits than its factorization.

11113317585378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194144 (or 13194138 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 11113317585378 in words is "eleven trillion, one hundred thirteen billion, three hundred seventeen million, five hundred eighty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 821 1026 1642 2463 4926 7389 14778 15599 22167 31198 44334 46797 93594 140391 280782 421173 842346 13193293 26386586 39579879 79159758 118739637 237479274 250672567 356218911 501345134 712437822 752017701 1504035402 2256053103 4512106206 6768159309 10831693553 13536318618 21663387106 32495080659 64990161318 97485241977 194970483954 205802177507 292455725931 411604355014 584911451862 617406532521 1234813065042 1852219597563 3704439195126 5556658792689 11113317585378