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12146264928 = 25347669437
BaseRepresentation
bin10110100111111100…
…10100101101100000
31011100111100012010000
423103332110231200
5144333420434203
65325132340000
7606665356050
oct132376245540
934314305100
1012146264928
115173282686
12242b914600
1311b7556615
14833213560
154b15134a3
hex2d3f94b60

12146264928 has 120 divisors (see below), whose sum is σ = 40825006992. Its totient is φ = 3470356224.

The previous prime is 12146264891. The next prime is 12146264987. The reversal of 12146264928 is 82946264121.

It is a happy number.

12146264928 is a `hidden beast` number, since 1 + 2 + 14 + 626 + 4 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316575 + ... + 352862.

Almost surely, 212146264928 is an apocalyptic number.

12146264928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12146264928 is an abundant number, since it is smaller than the sum of its proper divisors (28678742064).

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

12146264928 is an equidigital number, since it uses as much as digits as its factorization.

12146264928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669466 (or 669449 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12146264928 in words is "twelve billion, one hundred forty-six million, two hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 669437 1338874 2008311 2677748 4016622 4686059 5355496 6024933 8033244 9372118 10710992 12049866 14058177 16066488 18074799 18744236 21421984 24099732 28116354 32132976 36149598 37488472 42174531 48199464 54224397 56232708 64265952 72299196 74976944 84349062 96398928 108448794 112465416 126523593 144598392 149953888 168698124 192797856 216897588 224930832 253047186 289196784 337396248 379570779 433795176 449861664 506094372 578393568 674792496 759141558 867590352 1012188744 1349584992 1518283116 1735180704 2024377488 3036566232 4048754976 6073132464 12146264928