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13848550194528 = 25357254419279
BaseRepresentation
bin1100100110000101110111…
…1010100011110101100000
31211000220112021101200200000
43021201131322203311200
53303343312322211103
645241534112100000
72626344661266150
oct311413572436540
954026467350600
1013848550194528
11445a1566101a5
121677b37534600
13795bb320833a
1435c3b8322760
15190374ddbaa3
hexc985dea3d60

13848550194528 has 144 divisors (see below), whose sum is σ = 46674743431680. Its totient is φ = 3956728611456.

The previous prime is 13848550194527. The next prime is 13848550194539. The reversal of 13848550194528 is 82549105584831.

13848550194528 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 550 + 19 + 45 + 28 = 666.

13848550194528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×138485501945282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13848550194527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127155208 + ... + 127264071.

It is an arithmetic number, because the mean of its divisors is an integer number (324130162720).

Almost surely, 213848550194528 is an apocalyptic number.

13848550194528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13848550194528 is an abundant number, since it is smaller than the sum of its proper divisors (32826193237152).

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

13848550194528 is an equidigital number, since it uses as much as digits as its factorization.

13848550194528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254419311 (or 254419291 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 13848550194528 in words is "thirteen trillion, eight hundred forty-eight billion, five hundred fifty million, one hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 254419279 508838558 763257837 1017677116 1526515674 1780934953 2035354232 2289773511 3053031348 3561869906 4070708464 4579547022 5342804859 6106062696 6869320533 7123739812 8141416928 9159094044 10685609718 12212125392 13738641066 14247479624 16028414577 18318188088 20607961599 21371219436 24424250784 27477282132 28494959248 32056829154 36636376176 41215923198 42742438872 48085243731 54954564264 56989918496 61823884797 64113658308 73272752352 82431846396 85484877744 96170487462 109909128528 123647769594 128227316616 144255731193 164863692792 170969755488 192340974924 219818257056 247295539188 256454633232 288511462386 329727385584 384681949848 432767193579 494591078376 512909266464 577022924772 659454771168 769363899696 865534387158 989182156752 1154045849544 1538727799392 1731068774316 1978364313504 2308091699088 3462137548632 4616183398176 6924275097264 13848550194528