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11081118918375 = 3253114719051999
BaseRepresentation
bin1010000101000000011000…
…1010000010011011100111
31110020100022020012200202200
42201100012022002123213
52423023112420342000
635322332403305543
72222404312463532
oct241200612023347
943210266180680
1011081118918375
113592526821a20
1212ab71837b2b3
13624c3930183c
142a4486b75a19
151433a2ee9500
hexa14062826e7

11081118918375 has 96 divisors (see below), whose sum is σ = 22255174656000. Its totient is φ = 5258351448000.

The previous prime is 11081118918347. The next prime is 11081118918431. The reversal of 11081118918375 is 57381981118011.

It is a happy number.

11081118918375 is a `hidden beast` number, since 1 + 1 + 0 + 81 + 1 + 189 + 18 + 375 = 666.

It is not a de Polignac number, because 11081118918375 - 214 = 11081118901991 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8944375 + ... + 10107624.

It is an arithmetic number, because the mean of its divisors is an integer number (231824736000).

Almost surely, 211081118918375 is an apocalyptic number.

11081118918375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11081118918375 is an abundant number, since it is smaller than the sum of its proper divisors (11174055737625).

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

11081118918375 is a wasteful number, since it uses less digits than its factorization.

11081118918375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052078 (or 19052065 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 54.

The spelling of 11081118918375 in words is "eleven trillion, eighty-one billion, one hundred eighteen million, nine hundred eighteen thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 125 141 165 225 235 275 375 423 495 517 705 825 1125 1175 1375 1551 2115 2475 2585 3525 4125 4653 5875 7755 10575 12375 12925 17625 23265 38775 52875 64625 116325 193875 581625 19051999 57155997 95259995 171467991 209571989 285779985 476299975 628715967 857339955 895443953 1047859945 1428899925 1886147901 2381499875 2686331859 3143579835 4286699775 4477219765 5239299725 7144499625 8058995577 9430739505 9849883483 13431659295 15717899175 21433498875 22386098825 26196498625 29549650449 40294977885 47153697525 49249417415 67158296475 78589495875 88648951347 111930494125 147748252245 201474889425 235768487625 246247087075 335791482375 443244756735 738741261225 1007374447125 1231235435375 2216223783675 3693706306125 11081118918375