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12794058368 = 277213156913
BaseRepresentation
bin10111110101001010…
…11101011010000000
31020000122021111122122
423322211131122000
5202200234331433
65513313023412
7632022462500
oct137245353200
936018244578
1012794058368
115475a04463
122590854b68
13128b817150
1489527ba00
154ed322198
hex2fa95d680

12794058368 has 96 divisors (see below), whose sum is σ = 31930429860. Its totient is φ = 5061353472.

The previous prime is 12794058337. The next prime is 12794058379. The reversal of 12794058368 is 86385049721.

12794058368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12758154304 + 35904064 = 112952^2 + 5992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3080 + ... + 159992.

It is a 1-persistent number, because it is pandigital, but 2⋅12794058368 = 25588116736 is not.

Almost surely, 212794058368 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 12794058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965214930).

12794058368 is an abundant number, since it is smaller than the sum of its proper divisors (19136371492).

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

12794058368 is a wasteful number, since it uses less digits than its factorization.

12794058368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156954 (or 156935 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 12794058368 in words is "twelve billion, seven hundred ninety-four million, fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 20384 40768 81536 156913 313826 627652 1098391 1255304 2039869 2196782 2510608 4079738 4393564 5021216 7688737 8159476 8787128 10042432 14279083 15377474 16318952 17574256 20084864 28558166 30754948 32637904 35148512 57116332 61509896 65275808 70297024 99953581 114232664 123019792 130551616 140594048 199907162 228465328 246039584 261103232 399814324 456930656 492079168 799628648 913861312 984158336 1599257296 1827722624 3198514592 6397029184 12794058368