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21194886613572 = 223272393181110629
BaseRepresentation
bin1001101000110110100011…
…01100000000101001000100
32210001012201002102200010200
410310123101230000221010
510234224111433113242
6113024444013050500
74315165022452530
oct464332154005104
983035632380120
1021194886613572
116831778a42231
122463864786a30
13ba98913c02a9
14533ba360abc0
1526b4dabbe04c
hex1346d1b00a44

21194886613572 has 144 divisors (see below), whose sum is σ = 61505748595200. Its totient is φ = 6028394077440.

The previous prime is 21194886613561. The next prime is 21194886613591. The reversal of 21194886613572 is 27531668849112.

It is a happy number.

21194886613572 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 4 + 8 + 8 + 6 + 613 + 5 + 7 + 2 = 666.

It is a super-3 number, since 3×211948866135723 (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 191529954 + ... + 191640582.

Almost surely, 221194886613572 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 21194886613572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752874297600).

21194886613572 is an abundant number, since it is smaller than the sum of its proper divisors (40310861981628).

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

21194886613572 is a wasteful number, since it uses less digits than its factorization.

21194886613572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114066 (or 114061 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 21194886613572 in words is "twenty-one trillion, one hundred ninety-four billion, eight hundred eighty-six million, six hundred thirteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3181 3346 4302 5019 6362 6692 8604 9543 10038 12724 15057 19086 20076 22267 28629 30114 38172 44534 57258 60228 66801 89068 110629 114516 133602 200403 221258 267204 331887 400806 442516 663774 760259 774403 801612 995661 1327548 1520518 1548806 1991322 2280777 2323209 3041036 3097612 3982644 4561554 4646418 5321813 6842331 6969627 9123108 9292836 10643626 13684662 13939254 15965439 21287252 26440331 27369324 27878508 31930878 47896317 52880662 63861756 79320993 95792634 105761324 158641986 185082317 191585268 237962979 317283972 351910849 370164634 475925958 555246951 703821698 740329268 951851916 1055732547 1110493902 1407643396 1665740853 2111465094 2220987804 2463375943 3167197641 3331481706 4222930188 4926751886 6334395282 6662963412 7390127829 9853503772 12668790564 14780255658 22170383487 29560511316 44340766974 84106692911 88681533948 168213385822 252320078733 336426771644 504640157466 588746850377 756960236199 1009280314932 1177493700754 1513920472398 1766240551131 2354987401508 3027840944796 3532481102262 5298721653393 7064962204524 10597443306786 21194886613572