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12768943104 = 210328316693
BaseRepresentation
bin10111110010001011…
…01001110000000000
31012221220000111222200
423321011221300000
5202122322134404
65511014433200
7631266140241
oct137105516000
935856014880
1012768943104
11546280aa45
122584362800
131286562648
14891bc0cc8
154eb010839
hex2f9169c00

12768943104 has 132 divisors (see below), whose sum is σ = 37316498856. Its totient is φ = 4204781568.

The previous prime is 12768943073. The next prime is 12768943211. The reversal of 12768943104 is 40134986721.

It is a self number, because there is not a number n which added to its sum of digits gives 12768943104.

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, 756582 + ... + 773274.

Almost surely, 212768943104 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 12768943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18658249428).

12768943104 is an abundant number, since it is smaller than the sum of its proper divisors (24547555752).

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

12768943104 is a wasteful number, since it uses less digits than its factorization.

12768943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16802 (or 16781 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12768943104 in words is "twelve billion, seven hundred sixty-eight million, nine hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2304 2656 2988 3072 3984 4608 5312 5976 7968 9216 10624 11952 15936 16693 21248 23904 31872 33386 42496 47808 50079 63744 66772 84992 95616 100158 127488 133544 150237 191232 200316 254976 267088 300474 382464 400632 534176 600948 764928 801264 1068352 1201896 1385519 1602528 2136704 2403792 2771038 3205056 4156557 4273408 4807584 5542076 6410112 8313114 8546816 9615168 11084152 12469671 12820224 16626228 17093632 19230336 22168304 24939342 25640448 33252456 38460672 44336608 49878684 51280896 66504912 76921344 88673216 99757368 133009824 153842688 177346432 199514736 266019648 354692864 399029472 532039296 709385728 798058944 1064078592 1418771456 1596117888 2128157184 3192235776 4256314368 6384471552 12768943104