Search a number
-
+
11813595666420 = 22354315649292601
BaseRepresentation
bin1010101111101001000100…
…1011000101011111110100
31112211100221210102211110210
42223322101023011133310
53022023220442311140
641043031350145420
72326334625222642
oct253722113053764
945740853384423
1011813595666420
113845132857059
1213a9679352270
1367902bcb1652
142cbad1402192
15157473361d80
hexabe912c57f4

11813595666420 has 96 divisors (see below), whose sum is σ = 33849603849600. Its totient is φ = 3076822425600.

The previous prime is 11813595666419. The next prime is 11813595666451. The reversal of 11813595666420 is 2466659531811.

It is a super-2 number, since 2×118135956664202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40228120 + ... + 40520720.

It is an arithmetic number, because the mean of its divisors is an integer number (352600040100).

Almost surely, 211813595666420 is an apocalyptic number.

11813595666420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11813595666420 is an abundant number, since it is smaller than the sum of its proper divisors (22036008183180).

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

11813595666420 is a wasteful number, since it uses less digits than its factorization.

11813595666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308305 (or 308303 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 11813595666420 in words is "eleven trillion, eight hundred thirteen billion, five hundred ninety-five million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 15649 31298 46947 62596 78245 93894 156490 187788 234735 292601 312980 469470 585202 672907 877803 938940 1170404 1345814 1463005 1755606 2018721 2691628 2926010 3364535 3511212 4037442 4389015 5852020 6729070 8074884 8778030 10093605 12581843 13458140 17556060 20187210 25163686 37745529 40374420 50327372 62909215 75491058 125818430 150982116 188727645 251636860 377455290 754910580 4578913049 9157826098 13736739147 18315652196 22894565245 27473478294 45789130490 54946956588 68683695735 91578260980 137367391470 196893261107 274734782940 393786522214 590679783321 787573044428 984466305535 1181359566642 1968932611070 2362719133284 2953398916605 3937865222140 5906797833210 11813595666420