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12337527328 = 257279137727
BaseRepresentation
bin10110111110101111…
…11011101000100000
31011211211020022210121
423133113323220200
5200231401333303
65400124010024
7614510152300
oct133727735040
934754208717
1012337527328
115261237985
122483990914
131218071839
1485079d600
154c31e39bd
hex2df5fba20

12337527328 has 144 divisors (see below), whose sum is σ = 28861297920. Its totient is φ = 5175346176.

The previous prime is 12337527289. The next prime is 12337527331. The reversal of 12337527328 is 82372573321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16970101 + ... + 16970827.

It is an arithmetic number, because the mean of its divisors is an integer number (200425680).

Almost surely, 212337527328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12337527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430648960).

12337527328 is an abundant number, since it is smaller than the sum of its proper divisors (16523770592).

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

12337527328 is a wasteful number, since it uses less digits than its factorization.

12337527328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The spelling of 12337527328 in words is "twelve billion, three hundred thirty-seven million, five hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 137 158 196 224 274 316 392 548 553 632 727 784 959 1096 1106 1264 1454 1568 1918 2192 2212 2528 2908 3836 3871 4384 4424 5089 5816 6713 7672 7742 8848 10178 10823 11632 13426 15344 15484 17696 20356 21646 23264 26852 30688 30968 35623 40712 43292 53704 57433 61936 71246 75761 81424 86584 99599 107408 114866 123872 142492 151522 162848 173168 199198 214816 229732 284984 303044 346336 398396 402031 459464 530327 569968 606088 697193 796792 804062 918928 1060654 1139936 1212176 1394386 1593584 1608124 1837856 2121308 2424352 2788772 2814217 3187168 3216248 4242616 4880351 5577544 5628434 6432496 7868321 8485232 9760702 11155088 11256868 12864992 15736642 16970464 19521404 22310176 22513736 31473284 39042808 45027472 55078247 62946568 78085616 90054944 110156494 125893136 156171232 220312988 251786272 385547729 440625976 771095458 881251952 1542190916 1762503904 3084381832 6168763664 12337527328