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11263940050500 = 22325324111038199
BaseRepresentation
bin1010001111101001011100…
…1001010011111001000100
31110212211012100102110202100
42203322113021103321010
52434022022123104000
635542325502512100
72241535635454614
oct243722711237104
943784170373670
1011263940050500
113653012565455
12131b03a895630
13639253561b27
142ad26b4d6a44
15148003213a00
hexa3e97253e44

11263940050500 has 144 divisors (see below), whose sum is σ = 35548748726400. Its totient is φ = 3002468616000.

The previous prime is 11263940050483. The next prime is 11263940050537. The reversal of 11263940050500 is 505004936211.

11263940050500 is a `hidden beast` number, since 1 + 1 + 2 + 63 + 9 + 40 + 0 + 50 + 500 = 666.

11263940050500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112639400505002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10330401 + ... + 11368599.

It is an arithmetic number, because the mean of its divisors is an integer number (246866310600).

Almost surely, 211263940050500 is an apocalyptic number.

11263940050500 is a gapful number since it is divisible by the number (10) 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 11263940050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774374363200).

11263940050500 is an abundant number, since it is smaller than the sum of its proper divisors (24284808675900).

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

11263940050500 is a wasteful number, since it uses less digits than its factorization.

11263940050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040635 (or 1040620 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 11263940050500 its reverse (505004936211), we get a palindrome (11768944986711).

The spelling of 11263940050500 in words is "eleven trillion, two hundred sixty-three billion, nine hundred forty million, fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 2411 4500 4822 7233 9644 12055 14466 21699 24110 28932 36165 43398 48220 60275 72330 86796 108495 120550 144660 180825 216990 241100 301375 361650 433980 542475 602750 723300 904125 1038199 1084950 1205500 1808250 2076398 2169900 2712375 3114597 3616500 4152796 5190995 5424750 6229194 9343791 10381990 10849500 12458388 15572985 18687582 20763980 25954975 31145970 37375164 46718955 51909950 62291940 77864925 93437910 103819900 129774875 155729850 186875820 233594775 259549750 311459700 389324625 467189550 519099500 778649250 934379100 1167973875 1557298500 2335947750 2503097789 4671895500 5006195578 7509293367 10012391156 12515488945 15018586734 22527880101 25030977890 30037173468 37546466835 45055760202 50061955780 62577444725 75092933670 90111520404 112639400505 125154889450 150185867340 187732334175 225278801010 250309778900 312887223625 375464668350 450557602020 563197002525 625774447250 750929336700 938661670875 1126394005050 1251548894500 1877323341750 2252788010100 2815985012625 3754646683500 5631970025250 11263940050500