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12575683575312 = 2431113310840957
BaseRepresentation
bin1011011100000000000100…
…1001101111111000010000
31122112020001000021210111220
42313000001021233320100
53122014444443402222
642425104515005040
72435364106452054
oct267000111577020
948466030253456
1012575683575312
114009354592650
1214b1302b99780
13702b60622000
143169485b9c64
1516c1c80e6b5c
hexb700126fe10

12575683575312 has 160 divisors (see below), whose sum is σ = 38392602299520. Its totient is φ = 3517673402880.

The previous prime is 12575683575223. The next prime is 12575683575359. The reversal of 12575683575312 is 21357538657521.

It is a happy 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, 4260463 + ... + 6580494.

It is an arithmetic number, because the mean of its divisors is an integer number (239953764372).

Almost surely, 212575683575312 is an apocalyptic number.

12575683575312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12575683575312 is an abundant number, since it is smaller than the sum of its proper divisors (25816918724208).

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

12575683575312 is a wasteful number, since it uses less digits than its factorization.

12575683575312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841018 (or 10840986 counting only the distinct ones).

The product of its digits is 52920000, while the sum is 60.

The spelling of 12575683575312 in words is "twelve trillion, five hundred seventy-five billion, six hundred eighty-three million, five hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1716 1859 2028 2197 2288 2704 3432 3718 4056 4394 5577 6591 6864 7436 8112 8788 11154 13182 14872 17576 22308 24167 26364 29744 35152 44616 48334 52728 72501 89232 96668 105456 145002 193336 290004 386672 580008 1160016 10840957 21681914 32522871 43363828 65045742 86727656 119250527 130091484 140932441 173455312 238501054 260182968 281864882 357751581 422797323 477002108 520365936 563729764 715503162 845594646 954004216 1127459528 1431006324 1550256851 1691189292 1832121733 1908008432 2254919056 2862012648 3100513702 3382378584 3664243466 4650770553 5496365199 5724025296 6201027404 6764757168 7328486932 9301541106 10992730398 12402054808 14656973864 18603082212 20153339063 21985460796 23817582529 24804109616 29313947728 37206164424 40306678126 43970921592 47635165058 60460017189 71452747587 74412328848 80613356252 87941843184 95270330116 120920034378 142905495174 161226712504 190540660232 241840068756 261993407819 285810990348 322453425008 381081320464 483680137512 523986815638 571621980696 785980223457 967360275024 1047973631276 1143243961392 1571960446914 2095947262552 3143920893828 4191894525104 6287841787656 12575683575312