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12045580032 = 28316396223
BaseRepresentation
bin10110011011111100…
…01111011100000000
31011002110212212101210
423031332033130000
5144132132030112
65311134330120
7604333512063
oct131576173400
934073785353
1012045580032
115121463622
122402059940
13119c733165
14823ac48da
154a7775b3c
hex2cdf8f700

12045580032 has 72 divisors (see below), whose sum is σ = 32255824384. Its totient is φ = 3990518784.

The previous prime is 12045579971. The next prime is 12045580087. The reversal of 12045580032 is 23008554021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77073 + ... + 173295.

Almost surely, 212045580032 is an apocalyptic number.

12045580032 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 12045580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127912192).

12045580032 is an abundant number, since it is smaller than the sum of its proper divisors (20210244352).

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

12045580032 is an equidigital number, since it uses as much as digits as its factorization.

12045580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96405 (or 96391 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 12045580032 in words is "twelve billion, forty-five million, five hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2608 3912 5216 7824 10432 15648 20864 31296 41728 62592 96223 125184 192446 288669 384892 577338 769784 1154676 1539568 2309352 3079136 4618704 6158272 9237408 12316544 15684349 18474816 24633088 31368698 36949632 47053047 62737396 73899264 94106094 125474792 188212188 250949584 376424376 501899168 752848752 1003798336 1505697504 2007596672 3011395008 4015193344 6022790016 12045580032