Search a number
-
+
21083016579756 = 223172315129757593
BaseRepresentation
bin1001100101100110001011…
…01101101100101010101100
32202122111221200020010121220
410302303011231230222230
510230411004221023011
6112501223142023340
74304124543040455
oct462630555545254
982574850203556
1021083016579756
11679929125402a
122446043717b50
13b9c173652301
1452c5cdd2012c
1526863e837506
hex132cc5b6caac

21083016579756 has 96 divisors (see below), whose sum is σ = 54712074267648. Its totient is φ = 6284803430400.

The previous prime is 21083016579749. The next prime is 21083016579769. The reversal of 21083016579756 is 65797561038012.

It is a self number, because there is not a number n which added to its sum of digits gives 21083016579756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14170305 + ... + 15587288.

It is an arithmetic number, because the mean of its divisors is an integer number (569917440288).

Almost surely, 221083016579756 is an apocalyptic number.

It is an amenable number.

21083016579756 is an abundant number, since it is smaller than the sum of its proper divisors (33629057687892).

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

21083016579756 is a wasteful number, since it uses less digits than its factorization.

21083016579756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29757791 (or 29757789 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 21083016579756 in words is "twenty-one trillion, eighty-three billion, sixteen million, five hundred seventy-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 151 204 276 302 391 453 604 782 906 1173 1564 1812 2346 2567 3473 4692 5134 6946 7701 10268 10419 13892 15402 20838 30804 41676 59041 118082 177123 236164 354246 708492 29757593 59515186 89272779 119030372 178545558 357091116 505879081 684424639 1011758162 1368849278 1517637243 2023516324 2053273917 2737698556 3035274486 4106547834 4493396543 6070548972 8213095668 8986793086 11635218863 13480189629 17973586172 23270437726 26960379258 34905656589 46540875452 53920758516 69811313178 76387741231 103348120489 139622626356 152775482462 206696240978 229163223693 305550964924 310044361467 413392481956 458326447386 620088722934 916652894772 1240177445868 1756918048313 3513836096626 5270754144939 7027672193252 10541508289878 21083016579756