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11500661061152 = 2561130314833049
BaseRepresentation
bin1010011101011011010011…
…0100010011011000100000
31111201110012211202202222022
42213112310310103120200
53001411323212424102
640243155235401012
72264616050035664
oct247266464233040
944643184682868
1011500661061152
11373444839043a
121358aa4153168
1365567a4c9673
142ba8c64b88a4
1514e25a36c5a2
hexa75b4d13620

11500661061152 has 96 divisors (see below), whose sum is σ = 23053855708800. Its totient is φ = 5646058629120.

The previous prime is 11500661061151. The next prime is 11500661061251. The reversal of 11500661061152 is 25116016600511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11500661061151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3771943724 + ... + 3771946772.

It is an arithmetic number, because the mean of its divisors is an integer number (240144330300).

Almost surely, 211500661061152 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 11500661061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526927854400).

11500661061152 is an abundant number, since it is smaller than the sum of its proper divisors (11553194647648).

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

11500661061152 is a wasteful number, since it uses less digits than its factorization.

11500661061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

Adding to 11500661061152 its reverse (25116016600511), we get a palindrome (36616677661663).

The spelling of 11500661061152 in words is "eleven trillion, five hundred billion, six hundred sixty-one million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1303 1483 1952 2606 2966 3049 5212 5932 6098 10424 11864 12196 20848 23728 24392 41696 47456 48784 79483 90463 97568 158966 180926 185989 317932 361852 371978 635864 723704 743956 1271728 1447408 1487912 1932349 2543456 2894816 2975824 3864698 3972847 4521667 5951648 7729396 7945694 9043334 15458792 15891388 18086668 30917584 31782776 36173336 61835168 63565552 72346672 117873289 127131104 144693344 235746578 242343667 275821687 471493156 484687334 551643374 942986312 969374668 1103286748 1885972624 1938749336 2206573496 3771945248 3877498672 4413146992 5891732101 7754997344 8826293984 11783464202 23566928404 47133856808 94267713616 188535427232 359395658161 718791316322 1437582632644 2875165265288 5750330530576 11500661061152