Search a number
-
+
12073056458256 = 24322914461199921
BaseRepresentation
bin1010111110101111101000…
…1111011101011000010000
31120202011200001200201011200
42233223322033131120100
53040301104423131011
641402141403311200
72354151410451123
oct257537217353020
946664601621150
1012073056458256
113935177699232
12142ba0a21b500
1369763b128601
142da4a64d63ba
1515e0aba28856
hexafafa3dd610

12073056458256 has 120 divisors (see below), whose sum is σ = 34955478044760. Its totient is φ = 3885293260800.

The previous prime is 12073056458231. The next prime is 12073056458279. The reversal of 12073056458256 is 65285465037021.

12073056458256 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 0 + 5 + 6 + 4 + 582 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493899728400 + 11579156729856 = 702780^2 + 3402816^2 .

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, 60289176 + ... + 60489096.

It is an arithmetic number, because the mean of its divisors is an integer number (291295650373).

Almost surely, 212073056458256 is an apocalyptic number.

12073056458256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12073056458256 is an abundant number, since it is smaller than the sum of its proper divisors (22882421586504).

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

12073056458256 is a wasteful number, since it uses less digits than its factorization.

12073056458256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214425 (or 214416 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 12073056458256 in words is "twelve trillion, seventy-three billion, fifty-six million, four hundred fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 14461 28922 43383 57844 86766 115688 130149 173532 199921 231376 260298 347064 399842 419369 520596 599763 694128 799684 838738 1041192 1199526 1258107 1599368 1677476 1799289 2082384 2399052 2516214 3198736 3354952 3598578 3774321 4798104 5032428 5797709 6709904 7197156 7548642 9596208 10064856 11595418 14394312 15097284 17393127 20129712 23190836 28788624 30194568 34786254 46381672 52179381 60389136 69572508 92763344 104358762 139145016 208717524 278290032 417435048 834870096 2891057581 5782115162 8673172743 11564230324 17346345486 23128460648 26019518229 34692690972 46256921296 52039036458 69385381944 83840669849 104078072916 138770763888 167681339698 208156145832 251522009547 335362679396 416312291664 503044019094 670725358792 754566028641 1006088038188 1341450717584 1509132057282 2012176076376 3018264114564 4024352152752 6036528229128 12073056458256