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11066124420 = 2234513525457
BaseRepresentation
bin10100100111001011…
…11010100010000100
31001120012212100220000
422103211322202010
5140130411440140
65030025241300
7541141335261
oct122345724204
931505770800
1011066124420
1147695a207a
12218a033230
13107483a120
1476d9a4268
1544b7a1a30
hex29397a884

11066124420 has 120 divisors (see below), whose sum is σ = 37385285784. Its totient is φ = 2723963904.

The previous prime is 11066124409. The next prime is 11066124427. The reversal of 11066124420 is 2442166011.

11066124420 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 612 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 675584064 + 10390540356 = 25992^2 + 101934^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11066124427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241669 + ... + 283788.

Almost surely, 211066124420 is an apocalyptic number.

11066124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11066124420 is an abundant number, since it is smaller than the sum of its proper divisors (26319161364).

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

11066124420 is a wasteful number, since it uses less digits than its factorization.

11066124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525491 (or 525480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11066124420 in words is "eleven billion, sixty-six million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 525457 1050914 1576371 2101828 2627285 3152742 4729113 5254570 6305484 6830941 7881855 9458226 10509140 13661882 14187339 15763710 18916452 20492823 23645565 27323764 28374678 31527420 34154705 40985646 42562017 47291130 56749356 61478469 68309410 70936695 81971292 85124034 94582260 102464115 122956938 136618820 141873390 170248068 184435407 204928230 212810085 245913876 283746780 307392345 368870814 409856460 425620170 553306221 614784690 737741628 851240340 922177035 1106612442 1229569380 1844354070 2213224884 2766531105 3688708140 5533062210 11066124420