Search a number
-
+
11116560556596 = 22311234157880823
BaseRepresentation
bin1010000111000100011010…
…1001001010001000110100
31110100201210012220110110010
42201301012221022020310
52424113204000302341
635350513304500220
72225100506442045
oct241610651121064
943321705813403
1011116560556596
1135a6563698320
1212b656977a670
13628396b851c1
142a6089ba48cc
15144279715716
hexa1c46a4a234

11116560556596 has 96 divisors (see below), whose sum is σ = 29534127372288. Its totient is φ = 3221412684160.

The previous prime is 11116560556487. The next prime is 11116560556631. The reversal of 11116560556596 is 69565506561111.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 12180241 + ... + 13061063.

It is an arithmetic number, because the mean of its divisors is an integer number (307647160128).

Almost surely, 211116560556596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11116560556596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767063686144).

11116560556596 is an abundant number, since it is smaller than the sum of its proper divisors (18417566815692).

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

11116560556596 is a wasteful number, since it uses less digits than its factorization.

11116560556596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885021 (or 885019 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 57.

The spelling of 11116560556596 in words is "eleven trillion, one hundred sixteen billion, five hundred sixty million, five hundred fifty-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 4157 8314 12471 16628 24942 45727 49884 91454 95611 137181 182908 191222 274362 286833 382444 548724 573666 880823 1051721 1147332 1761646 2103442 2642469 3155163 3523292 4206884 5284938 6310326 9689053 10569876 12620652 19378106 20258929 29067159 38756212 40517858 58134318 60776787 81035716 116268636 121553574 222848219 243107148 445696438 668544657 891392876 1337089314 2674178628 3661581211 7323162422 10984743633 14646324844 21969487266 40277393321 43938974532 80554786642 84216367853 120832179963 161109573284 168432735706 241664359926 252649103559 336865471412 483328719852 505298207118 926380046383 1010596414236 1852760092766 2779140139149 3705520185532 5558280278298 11116560556596