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12810852648 = 2333119195867
BaseRepresentation
bin10111110111001011…
…00001100100101000
31020001210212202002000
423323211201210220
5202214034241043
65515113011000
7632315310426
oct137345414450
936053782060
1012810852648
115484435230
1225963b3a60
1312921473a9
148975b0116
154eea3d2d3
hex2fb961928

12810852648 has 128 divisors (see below), whose sum is σ = 38869632000. Its totient is φ = 3877191360.

The previous prime is 12810852647. The next prime is 12810852667. The reversal of 12810852648 is 84625801821.

12810852648 is a `hidden beast` number, since 1 + 2 + 81 + 0 + 8 + 526 + 48 = 666.

12810852648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128108526482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12810852647) 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 31 ways as a sum of consecutive naturals, for example, 2180611 + ... + 2186477.

It is an arithmetic number, because the mean of its divisors is an integer number (303669000).

Almost surely, 212810852648 is an apocalyptic number.

12810852648 is a gapful number since it is divisible by the number (18) 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 12810852648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434816000).

12810852648 is an abundant number, since it is smaller than the sum of its proper divisors (26058779352).

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

12810852648 is a wasteful number, since it uses less digits than its factorization.

12810852648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12810852648 in words is "twelve billion, eight hundred ten million, eight hundred fifty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 919 1188 1838 2376 2757 3676 5514 5867 7352 8271 10109 11028 11734 16542 17601 20218 22056 23468 24813 30327 33084 35202 40436 46936 49626 52803 60654 64537 66168 70404 80872 90981 99252 105606 121308 129074 140808 158409 181962 193611 198504 211212 242616 258148 272943 316818 363924 387222 422424 516296 545886 580833 633636 727848 774444 1091772 1161666 1267272 1548888 1742499 2183544 2323332 3484998 4646664 5391773 6969996 10783546 13939992 16175319 21567092 32350638 43134184 48525957 59309503 64701276 97051914 118619006 129402552 145577871 177928509 194103828 237238012 291155742 355857018 388207656 474476024 533785527 582311484 711714036 1067571054 1164622968 1423428072 1601356581 2135142108 3202713162 4270284216 6405426324 12810852648