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12093969080160 = 2532511763508149
BaseRepresentation
bin1010111111111101100010…
…1110110001111101100000
31120211011122111110222022200
42233333120232301331200
53041121422041031120
641415520453333200
72355521554013232
oct257773056617540
946734574428280
1012093969080160
113943029290630
121433a85937200
136995c18c89b6
142db4cbaa2252
1515e8d2965e90
hexaffd8bb1f60

12093969080160 has 144 divisors (see below), whose sum is σ = 45022548589200. Its totient is φ = 2931871288320.

The previous prime is 12093969080143. The next prime is 12093969080201. The reversal of 12093969080160 is 6108096939021.

12093969080160 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 396 + 90 + 8 + 0 + 160 = 666.

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

It is a super-2 number, since 2×120939690801602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12093969080097 and 12093969080106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381738235 + ... + 381769914.

It is an arithmetic number, because the mean of its divisors is an integer number (312656587425).

Almost surely, 212093969080160 is an apocalyptic number.

12093969080160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12093969080160 is an abundant number, since it is smaller than the sum of its proper divisors (32928579509040).

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

12093969080160 is a wasteful number, since it uses less digits than its factorization.

12093969080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763508181 (or 763508170 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 12093969080160 in words is "twelve trillion, ninety-three billion, nine hundred sixty-nine million, eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 763508149 1527016298 2290524447 3054032596 3817540745 4581048894 6108065192 6871573341 7635081490 8398589639 9162097788 11452622235 12216130384 13743146682 15270162980 16797179278 18324195576 22905244470 24432260768 25195768917 27486293364 30540325960 33594358556 34357866705 36648391152 41992948195 45810488940 50391537834 54972586728 61080651920 67188717112 68715733410 73296782304 75587306751 83985896390 91620977880 100783075668 109945173456 122161303840 125978844585 134377434224 137431466820 151174613502 167971792780 183241955760 201566151336 219890346912 251957689170 268754868448 274862933640 302349227004 335943585560 366483911520 377936533755 403132302672 503915378340 549725867280 604698454008 671887171120 755873067510 806264605344 1007830756680 1099451734560 1209396908016 1343774342240 1511746135020 2015661513360 2418793816032 3023492270040 4031323026720 6046984540080 12093969080160