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11104559136 = 2533112106219
BaseRepresentation
bin10100101011110001…
…00010000000100000
31001122220012001102000
422111320202000200
5140220231343021
65033521124000
7542116123656
oct122570420040
931586161360
1011104559136
114789263700
12219aa89600
13107c7a6368
14774b2add6
1544ed44b26
hex295e22020

11104559136 has 144 divisors (see below), whose sum is σ = 35600695200. Its totient is φ = 3364986240.

The previous prime is 11104559131. The next prime is 11104559161. The reversal of 11104559136 is 63195540111.

11104559136 is a `hidden beast` number, since 1 + 110 + 455 + 91 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×111045591362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11104559136.

It is not an unprimeable number, because it can be changed into a prime (11104559131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51435 + ... + 157653.

It is an arithmetic number, because the mean of its divisors is an integer number (247227050).

Almost surely, 211104559136 is an apocalyptic number.

11104559136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11104559136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800347600).

11104559136 is an abundant number, since it is smaller than the sum of its proper divisors (24496136064).

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

11104559136 is a wasteful number, since it uses less digits than its factorization.

11104559136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106260 (or 106235 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 11104559136 in words is "eleven billion, one hundred four million, five hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 26136 34848 52272 104544 106219 212438 318657 424876 637314 849752 955971 1168409 1274628 1699504 1911942 2336818 2549256 2867913 3399008 3505227 3823884 4673636 5098512 5735826 7010454 7647768 9347272 10197024 10515681 11471652 12852499 14020908 15295536 18694544 21031362 22943304 25704998 28041816 30591072 31547043 37389088 38557497 42062724 45886608 51409996 56083632 63094086 77114994 84125448 91773216 102819992 112167264 115672491 126188172 154229988 168250896 205639984 231344982 252376344 308459976 336501792 347017473 411279968 462689964 504752688 616919952 694034946 925379928 1009505376 1233839904 1388069892 1850759856 2776139784 3701519712 5552279568 11104559136