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12093423919824 = 24313532931248019
BaseRepresentation
bin1010111111111011100000…
…1111001010001011010000
31120211010020111122221221010
42233332320033022023100
53041114313010413244
641415350420530520
72355502214146422
oct257767017121320
946733214587833
1012093423919824
1139428795895a5
121433953250a40
13699535991310
142db479512812
1515e89eb7beb9
hexaffb83ca2d0

12093423919824 has 160 divisors (see below), whose sum is σ = 34396349742720. Its totient is φ = 3638381819904.

The previous prime is 12093423919799. The next prime is 12093423919853. The reversal of 12093423919824 is 42891932439021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066087 + ... + 10314105.

It is an arithmetic number, because the mean of its divisors is an integer number (214977185892).

Almost surely, 212093423919824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12093423919824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198174871360).

12093423919824 is an abundant number, since it is smaller than the sum of its proper divisors (22302925822896).

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

12093423919824 is a wasteful number, since it uses less digits than its factorization.

12093423919824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248389 (or 1248383 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 12093423919824 in words is "twelve trillion, ninety-three billion, four hundred twenty-three million, nine hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 293 312 318 424 586 624 636 689 848 879 1172 1272 1378 1758 2067 2344 2544 2756 3516 3809 4134 4688 5512 7032 7618 8268 11024 11427 14064 15236 15529 16536 22854 30472 31058 33072 45708 46587 60944 62116 91416 93174 124232 182832 186348 201877 248464 372696 403754 605631 745392 807508 1211262 1248019 1615016 2422524 2496038 3230032 3744057 4845048 4992076 7488114 9690096 9984152 14976228 16224247 19968304 29952456 32448494 48672741 59904912 64896988 66145007 97345482 129793976 132290014 194690964 198435021 259587952 264580028 365669567 389381928 396870042 529160056 731339134 778763856 793740084 859885091 1058320112 1097008701 1462678268 1587480168 1719770182 2194017402 2579655273 2925356536 3174960336 3439540364 4388034804 4753704371 5159310546 5850713072 6879080728 8776069608 9507408742 10318621092 13758161456 14261113113 17552139216 19014817484 19380487051 20637242184 28522226226 38029634968 38760974102 41274484368 57044452452 58141461153 76059269936 77521948204 114088904904 116282922306 155043896408 228177809808 232565844612 251946331663 310087792816 465131689224 503892663326 755838994989 930263378448 1007785326652 1511677989978 2015570653304 3023355979956 4031141306608 6046711959912 12093423919824