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12134010304 = 2613174718253
BaseRepresentation
bin10110100110011111…
…00100110111000000
31011022122021120221001
423103033210313000
5144322301312204
65324013541344
7606456246223
oct132317446700
934278246831
1012134010304
115167372599
1224277a4854
1311b4b55770
148317435ba
154b03e24a4
hex2d33e4dc0

12134010304 has 112 divisors (see below), whose sum is σ = 28041648768. Its totient is φ = 5158453248.

The previous prime is 12134010281. The next prime is 12134010347. The reversal of 12134010304 is 40301043121.

12134010304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 655642 + ... + 673894.

It is an arithmetic number, because the mean of its divisors is an integer number (250371864).

Almost surely, 212134010304 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 12134010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020824384).

12134010304 is an abundant number, since it is smaller than the sum of its proper divisors (15907638464).

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

12134010304 is a wasteful number, since it uses less digits than its factorization.

12134010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12134010304 its reverse (40301043121), we get a palindrome (52435053425).

The spelling of 12134010304 in words is "twelve billion, one hundred thirty-four million, ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 64 68 94 104 136 188 208 221 272 376 416 442 544 611 752 799 832 884 1088 1222 1504 1598 1768 2444 3008 3196 3536 4888 6392 7072 9776 10387 12784 14144 18253 19552 20774 25568 36506 39104 41548 51136 73012 83096 146024 166192 237289 292048 310301 332384 474578 584096 620602 664768 857891 949156 1168192 1241204 1715782 1898312 2482408 3431564 3796624 4033913 4964816 6863128 7593248 8067826 9929632 11152583 13726256 14584147 15186496 16135652 19859264 22305166 27452512 29168294 32271304 44610332 54905024 58336588 64542608 89220664 116673176 129085216 178441328 189593911 233346352 258170432 356882656 379187822 466692704 713765312 758375644 933385408 1516751288 3033502576 6067005152 12134010304