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12856612384840 = 2357971493176951
BaseRepresentation
bin1011101100010110100111…
…0100000111000001001000
31200112002011102101222011011
42323011221310013001020
53141120320232303330
643202125102213304
72464600561106140
oct273055164070110
950462142358134
1012856612384840
11410750557a204
121537845584234
137234b1318813
14326398931920
1517466b35782a
hexbb169d07048

12856612384840 has 128 divisors (see below), whose sum is σ = 33624859968000. Its totient is φ = 4333258137600.

The previous prime is 12856612384817. The next prime is 12856612384871. The reversal of 12856612384840 is 4848321665821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2458365 + ... + 5635315.

It is an arithmetic number, because the mean of its divisors is an integer number (262694218500).

Almost surely, 212856612384840 is an apocalyptic number.

12856612384840 is a gapful number since it is divisible by the number (10) 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 12856612384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812429984000).

12856612384840 is an abundant number, since it is smaller than the sum of its proper divisors (20768247583160).

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

12856612384840 is a wasteful number, since it uses less digits than its factorization.

12856612384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177215 (or 3177211 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 12856612384840 in words is "twelve trillion, eight hundred fifty-six billion, six hundred twelve million, three hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 149 194 280 298 388 485 596 679 745 776 970 1043 1192 1358 1490 1940 2086 2716 2980 3395 3880 4172 5215 5432 5960 6790 8344 10430 13580 14453 20860 27160 28906 41720 57812 72265 101171 115624 144530 202342 289060 404684 505855 578120 809368 1011710 2023420 3176951 4046840 6353902 12707804 15884755 22238657 25415608 31769510 44477314 63539020 88954628 111193285 127078040 177909256 222386570 308164247 444773140 473365699 616328494 889546280 946731398 1232656988 1540821235 1893462796 2157149729 2366828495 2465313976 3081642470 3313559893 3786925592 4314299458 4733656990 6163284940 6627119786 8628598916 9467313980 10785748645 12326569880 13254239572 16567799465 17257197832 18934627960 21571497290 26508479144 33135598930 43142994580 45916472803 66271197860 86285989160 91832945606 132542395720 183665891212 229582364015 321415309621 367331782424 459164728030 642830619242 918329456060 1285661238484 1607076548105 1836658912120 2571322476968 3214153096210 6428306192420 12856612384840