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12318222523296 = 2531453200344089
BaseRepresentation
bin1011001101000000111101…
…0001110001101110100000
31121121121111002220020010210
42303100033101301232200
53103310204431221141
642110525135054120
72410651015563054
oct263201721615640
947547432806123
1012318222523296
113a1a14652a608
12146b42b971340
136b47ac890b51
143082c2d13c64
1516565a290916
hexb340f471ba0

12318222523296 has 96 divisors (see below), whose sum is σ = 32374477154880. Its totient is φ = 4101106673664.

The previous prime is 12318222523273. The next prime is 12318222523309. The reversal of 12318222523296 is 69232522281321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×123182225232964 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279372420 + ... + 279416508.

It is an arithmetic number, because the mean of its divisors is an integer number (337234137030).

Almost surely, 212318222523296 is an apocalyptic number.

12318222523296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12318222523296 is an abundant number, since it is smaller than the sum of its proper divisors (20056254631584).

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

12318222523296 is a wasteful number, since it uses less digits than its factorization.

12318222523296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47558 (or 47550 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 12318222523296 in words is "twelve trillion, three hundred eighteen billion, two hundred twenty-two million, five hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1453 2003 2906 4006 4359 5812 6009 8012 8718 11624 12018 16024 17436 23248 24036 32048 34872 44089 46496 48072 64096 69744 88178 96144 132267 139488 176356 192288 264534 352712 529068 705424 1058136 1410848 2116272 2910359 4232544 5820718 8731077 11641436 17462154 23282872 34924308 46565744 64061317 69848616 88310267 93131488 128122634 139697232 176620534 192183951 256245268 264930801 279394464 353241068 384367902 512490536 529861602 706482136 768735804 1024981072 1059723204 1412964272 1537471608 2049962144 2119446408 2825928544 3074943216 4238892816 6149886432 8477785632 128314817951 256629635902 384944453853 513259271804 769888907706 1026518543608 1539777815412 2053037087216 3079555630824 4106074174432 6159111261648 12318222523296