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2256632657928 = 2332117339031283
BaseRepresentation
bin100000110101101001110…
…010011011100000001000
321222201202121110122021200
4200311221302123200020
5243433040430023203
64444403245304200
7322015314050655
oct40655162334010
97881677418250
102256632657928
117a003a33a110
12305425865060
13134a517b060c
147b316118c2c
153da7824d9a3
hex20d69c9b808

2256632657928 has 96 divisors (see below), whose sum is σ = 6758657137440. Its totient is φ = 674460552960.

The previous prime is 2256632657921. The next prime is 2256632657963. The reversal of 2256632657928 is 8297562366522.

2256632657928 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 6 + 32 + 6 + 579 + 28 = 666.

It is a super-2 number, since 2×22566326579282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2256632657921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19457826 + ... + 19573457.

It is an arithmetic number, because the mean of its divisors is an integer number (70402678515).

Almost surely, 22256632657928 is an apocalyptic number.

It is an amenable number.

2256632657928 is an abundant number, since it is smaller than the sum of its proper divisors (4502024479512).

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

2256632657928 is a wasteful number, since it uses less digits than its factorization.

2256632657928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031379 (or 39031372 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 2256632657928 in words is "two trillion, two hundred fifty-six billion, six hundred thirty-two million, six hundred fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1752 2409 2628 3212 4818 5256 6424 7227 9636 14454 19272 28908 57816 39031283 78062566 117093849 156125132 234187698 312250264 351281547 429344113 468375396 702563094 858688226 936750792 1288032339 1405126188 1717376452 2576064678 2810252376 2849283659 3434752904 3864097017 5152129356 5698567318 7728194034 8547850977 10304258712 11397134636 15456388068 17095701954 22794269272 25643552931 30912776136 31342120249 34191403908 51287105862 62684240498 68382807816 94026360747 102574211724 125368480996 188052721494 205148423448 250736961992 282079082241 376105442988 564158164482 752210885976 1128316328964 2256632657928