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12011445432 = 23327223106871
BaseRepresentation
bin10110010111111000…
…00001110010111000
31011000002122122112100
423023330001302320
5144044412223212
65303514543400
7603440413230
oct131374016270
934002578470
1012011445432
115104169808
1223b2737b60
13119564127c
1481d35acc0
154a4781bdc
hex2cbf01cb8

12011445432 has 96 divisors (see below), whose sum is σ = 37345351680. Its totient is φ = 3416420160.

The previous prime is 12011445431. The next prime is 12011445451. The reversal of 12011445432 is 23454411021.

12011445432 is a `hidden beast` number, since 1 + 2 + 0 + 114 + 4 + 543 + 2 = 666.

12011445432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12011445396 and 12011445405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011445431) 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, 58957 + ... + 165827.

It is an arithmetic number, because the mean of its divisors is an integer number (389014080).

Almost surely, 212011445432 is an apocalyptic number.

12011445432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011445432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672675840).

12011445432 is an abundant number, since it is smaller than the sum of its proper divisors (25333906248).

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

12011445432 is a wasteful number, since it uses less digits than its factorization.

12011445432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107113 (or 107106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12011445432 its reverse (23454411021), we get a palindrome (35465856453).

The spelling of 12011445432 in words is "twelve billion, eleven million, four hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9366 12488 14049 16056 18732 28098 37464 56196 106871 112392 213742 320613 427484 641226 748097 854968 961839 1282452 1496194 1923678 2244291 2564904 2992388 3847356 4488582 5984776 6732873 7694712 8977164 13465746 17954328 23832233 26931492 47664466 53862984 71496699 95328932 142993398 166825631 190657864 214490097 285986796 333651262 428980194 500476893 571973592 667302524 857960388 1000953786 1334605048 1501430679 1715920776 2001907572 3002861358 4003815144 6005722716 12011445432