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12768276224 = 281121724247
BaseRepresentation
bin10111110010000110…
…00110111100000000
31012221211202122012102
423321003012330000
5202122134314344
65510552245532
7631260362054
oct137103067400
935854678172
1012768276224
1154623a4a00
1225840a08a8
13128638ac42
14891a89c64
154eae2ce4e
hex2f90c6f00

12768276224 has 108 divisors (see below), whose sum is σ = 29663402832. Its totient is φ = 5462138880.

The previous prime is 12768276193. The next prime is 12768276233. The reversal of 12768276224 is 42267286721.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514469 + ... + 538715.

Almost surely, 212768276224 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 12768276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831701416).

12768276224 is an abundant number, since it is smaller than the sum of its proper divisors (16895126608).

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

12768276224 is a wasteful number, since it uses less digits than its factorization.

12768276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24302 (or 24277 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The spelling of 12768276224 in words is "twelve billion, seven hundred sixty-eight million, two hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 256 272 352 374 484 544 704 748 968 1088 1408 1496 1936 2057 2176 2816 2992 3872 4114 4352 5984 7744 8228 11968 15488 16456 23936 24247 30976 32912 47872 48494 65824 96988 131648 193976 263296 266717 387952 412199 526592 533434 775904 824398 1066868 1551808 1648796 2133736 2933887 3103616 3297592 4267472 4534189 5867774 6207232 6595184 8534944 9068378 11735548 13190368 17069888 18136756 23471096 26380736 34139776 36273512 46942192 49876079 52761472 68279552 72547024 93884384 99752158 105522944 145094048 187768768 199504316 290188096 375537536 399008632 580376192 751075072 798017264 1160752384 1596034528 3192069056 6384138112 12768276224