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12059705856 = 293116111701
BaseRepresentation
bin10110011101101000…
…01000001000000000
31011010110110112101110
423032310020020000
5144144241041411
65312401203320
7604564544202
oct131664101000
934113415343
1012059705856
115129431560
122406930540
1311a263a933
14825920772
154a8b162a6
hex2ced08200

12059705856 has 160 divisors (see below), whose sum is σ = 35626130496. Its totient is φ = 3594240000.

The previous prime is 12059705849. The next prime is 12059705873. The reversal of 12059705856 is 65850795021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024806 + ... + 1036506.

Almost surely, 212059705856 is an apocalyptic number.

12059705856 is a gapful number since it is divisible by the number (16) 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 12059705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813065248).

12059705856 is an abundant number, since it is smaller than the sum of its proper divisors (23566424640).

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

12059705856 is a wasteful number, since it uses less digits than its factorization.

12059705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 12059705856 in words is "twelve billion, fifty-nine million, seven hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 256 264 352 366 384 488 512 528 671 704 732 768 976 1056 1342 1408 1464 1536 1952 2013 2112 2684 2816 2928 3904 4026 4224 5368 5632 5856 7808 8052 8448 10736 11701 11712 15616 16104 16896 21472 23402 23424 31232 32208 35103 42944 46804 46848 64416 70206 85888 93608 93696 128711 128832 140412 171776 187216 257422 257664 280824 343552 374432 386133 514844 515328 561648 713761 748864 772266 1029688 1030656 1123296 1427522 1497728 1544532 2059376 2141283 2246592 2855044 2995456 3089064 4118752 4282566 4493184 5710088 5990912 6178128 7851371 8237504 8565132 8986368 11420176 12356256 15702742 16475008 17130264 17972736 22840352 23554113 24712512 31405484 32950016 34260528 45680704 47108226 49425024 62810968 65900032 68521056 91361408 94216452 98850048 125621936 137042112 182722816 188432904 197700096 251243872 274084224 365445632 376865808 502487744 548168448 753731616 1004975488 1096336896 1507463232 2009950976 3014926464 4019901952 6029852928 12059705856