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12076254807456 = 253724754621937
BaseRepresentation
bin1010111110111011100011…
…1000001100010110100000
31120202110220221221200110110
42233232320320030112200
53040324132212314311
641403431015131320
72354323565124300
oct257567070142640
946673827850413
1012076254807456
113936569014334
121430561373b40
13697a2a939928
142da6cb1b1600
1515e1e76ec8a6
hexafbb8e0c5a0

12076254807456 has 144 divisors (see below), whose sum is σ = 37660296836736. Its totient is φ = 3376946571264.

The previous prime is 12076254807439. The next prime is 12076254807457. The reversal of 12076254807456 is 65470845267021.

12076254807456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12076254807396 and 12076254807405.

It is not an unprimeable number, because it can be changed into a prime (12076254807457) 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, 27089881 + ... + 27532056.

It is an arithmetic number, because the mean of its divisors is an integer number (261529839144).

Almost surely, 212076254807456 is an apocalyptic number.

12076254807456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12076254807456 is an abundant number, since it is smaller than the sum of its proper divisors (25584042029280).

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

12076254807456 is a wasteful number, since it uses less digits than its factorization.

12076254807456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54622011 (or 54621996 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 12076254807456 in words is "twelve trillion, seventy-six billion, two hundred fifty-four million, eight hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3948 4512 4606 4704 5264 6909 7896 9212 10528 13818 15792 18424 27636 31584 36848 55272 73696 110544 221088 54621937 109243874 163865811 218487748 327731622 382353559 436975496 655463244 764707118 873950992 1147060677 1310926488 1529414236 1747901984 2294121354 2567231039 2621852976 2676474913 3058828472 4588242708 5134462078 5243705952 5352949826 6117656944 7701693117 8029424739 9176485416 10268924156 10705899652 12235313888 15403386234 16058849478 17970617273 18352970832 20537848312 21411799304 30806772468 32117698956 35941234546 36705941664 41075696624 42823598608 53911851819 61613544936 64235397912 71882469092 82151393248 85647197216 107823703638 123227089872 125794320911 128470795824 143764938184 215647407276 246454179744 251588641822 256941591648 287529876368 377382962733 431294814552 503177283644 575059752736 754765925466 862589629104 1006354567288 1509531850932 1725179258208 2012709134576 3019063701864 4025418269152 6038127403728 12076254807456