Search a number
-
+
11613716918856 = 23321355722276153
BaseRepresentation
bin1010100100000000011101…
…1110001011001001001000
31112010021000220022102001100
42221000013132023021020
53010234343012400411
640411133511021400
72306030506004403
oct251000736131110
945107026272040
1011613716918856
113778393482688
12137699636a860
13663226b374a0
142c216d484d3a
1515217588e456
hexa900778b248

11613716918856 has 96 divisors (see below), whose sum is σ = 33934156434360. Its totient is φ = 3567035667456.

The previous prime is 11613716918833. The next prime is 11613716918857. The reversal of 11613716918856 is 65881961731611.

11613716918856 is a `hidden beast` number, since 1 + 1 + 613 + 7 + 1 + 6 + 9 + 1 + 8 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8863326853956 + 2750390064900 = 2977134^2 + 1658430^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11613716918793 and 11613716918802.

It is not an unprimeable number, because it can be changed into a prime (11613716918857) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10616725 + ... + 11659428.

Almost surely, 211613716918856 is an apocalyptic number.

It is an amenable number.

11613716918856 is an abundant number, since it is smaller than the sum of its proper divisors (22320439515504).

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

11613716918856 is a wasteful number, since it uses less digits than its factorization.

11613716918856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22276735 (or 22276728 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 11613716918856 in words is "eleven trillion, six hundred thirteen billion, seven hundred sixteen million, nine hundred eighteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 557 936 1114 1671 2228 3342 4456 5013 6684 7241 10026 13368 14482 20052 21723 28964 40104 43446 57928 65169 86892 130338 173784 260676 521352 22276153 44552306 66828459 89104612 133656918 178209224 200485377 267313836 289589989 400970754 534627672 579179978 801941508 868769967 1158359956 1603883016 1737539934 2316719912 2606309901 3475079868 5212619802 6950159736 10425239604 12407817221 20850479208 24815634442 37223451663 49631268884 74446903326 99262537768 111670354989 148893806652 161301623873 223340709978 297787613304 322603247746 446681419956 483904871619 645206495492 893362839912 967809743238 1290412990984 1451714614857 1935619486476 2903429229714 3871238972952 5806858459428 11613716918856