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12860180704 = 257194173699
BaseRepresentation
bin10111111101000011…
…01100100011100000
31020012020200212110001
423332201230203200
5202314201240304
65524034145344
7633454506130
oct137641544340
936166625401
1012860180704
1154aa267118
1225aaa22254
13129c4289a7
1489dd70ac0
15504033da4
hex2fe86c8e0

12860180704 has 96 divisors (see below), whose sum is σ = 31201632000. Its totient is φ = 5094005760.

The previous prime is 12860180701. The next prime is 12860180713. The reversal of 12860180704 is 40708106821.

12860180704 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 not an unprimeable number, because it can be changed into a prime (12860180701) by changing a digit.

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, 137647 + ... + 211345.

It is an arithmetic number, because the mean of its divisors is an integer number (325017000).

Almost surely, 212860180704 is an apocalyptic number.

12860180704 is a gapful number since it is divisible by the number (14) 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 12860180704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600816000).

12860180704 is an abundant number, since it is smaller than the sum of its proper divisors (18341451296).

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

12860180704 is a wasteful number, since it uses less digits than its factorization.

12860180704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73776 (or 73768 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 12860180704 in words is "twelve billion, eight hundred sixty million, one hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 112 133 152 164 224 266 287 304 328 532 574 608 656 779 1064 1148 1312 1558 2128 2296 3116 4256 4592 5453 6232 9184 10906 12464 21812 24928 43624 73699 87248 147398 174496 294796 515893 589592 1031786 1179184 1400281 2063572 2358368 2800562 3021659 4127144 5601124 6043318 8254288 9801967 11202248 12086636 16508576 19603934 21151613 22404496 24173272 39207868 42303226 44808992 48346544 57411521 78415736 84606452 96693088 114823042 156831472 169212904 229646084 313662944 338425808 401880647 459292168 676851616 803761294 918584336 1607522588 1837168672 3215045176 6430090352 12860180704