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13112474496 = 273114996221
BaseRepresentation
bin11000011011001000…
…00111101110000000
31020211211102201110120
430031210013232000
5203323243140441
610005045500240
7642640123422
oct141544075600
936754381416
1013112474496
115619717190
12265b411680
13130c792464
148c5686812
1551b26c966
hex30d907b80

13112474496 has 128 divisors (see below), whose sum is σ = 38078640000. Its totient is φ = 3964876800.

The previous prime is 13112474467. The next prime is 13112474521. The reversal of 13112474496 is 69447421131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104666 + ... + 2110886.

It is an arithmetic number, because the mean of its divisors is an integer number (297489375).

Almost surely, 213112474496 is an apocalyptic number.

13112474496 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 13112474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039320000).

13112474496 is an abundant number, since it is smaller than the sum of its proper divisors (24966165504).

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

13112474496 is a wasteful number, since it uses less digits than its factorization.

13112474496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6736 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 13112474496 in words is "thirteen billion, one hundred twelve million, four hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 499 528 704 998 1056 1408 1497 1996 2112 2994 3992 4224 5489 5988 6221 7984 10978 11976 12442 15968 16467 18663 21956 23952 24884 31936 32934 37326 43912 47904 49768 63872 65868 68431 74652 87824 95808 99536 131736 136862 149304 175648 191616 199072 205293 263472 273724 298608 351296 398144 410586 526944 547448 597216 702592 796288 821172 1053888 1094896 1194432 1642344 2107776 2189792 2388864 3104279 3284688 4379584 6208558 6569376 8759168 9312837 12417116 13138752 18625674 24834232 26277504 34147069 37251348 49668464 68294138 74502696 99336928 102441207 136588276 149005392 198673856 204882414 273176552 298010784 397347712 409764828 546353104 596021568 819529656 1092706208 1192043136 1639059312 2185412416 3278118624 4370824832 6556237248 13112474496