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11670996368656 = 243724125632
BaseRepresentation
bin1010100111010101110110…
…0101111011110100010000
31112022201212210200221112001
42221311131211323310100
53012204200032244111
640453325352243344
72313126112206022
oct251653545736420
945281783627461
1011670996368656
11379a707208049
121385b010a0554
13668754a64251
142c4c448b6012
151538c934d1c1
hexa9d5d97bd10

11670996368656 has 135 divisors (see below), whose sum is σ = 23863268911503. Its totient is φ = 5529460631040.

The previous prime is 11670996368639. The next prime is 11670996368659. The reversal of 11670996368656 is 65686369907611.

The square root of 11670996368656 is 3416284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 138071696400 + 11532924672256 = 371580^2 + 3396016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11670996368659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20730011031 + ... + 20730011593.

Almost surely, 211670996368656 is an apocalyptic number.

11670996368656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11670996368656 is the 3416284-th square number.

It is an amenable number.

11670996368656 is an abundant number, since it is smaller than the sum of its proper divisors (12192272542847).

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

11670996368656 is an frugal number, since it uses more digits than its factorization.

11670996368656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 73.

The spelling of 11670996368656 in words is "eleven trillion, six hundred seventy billion, nine hundred ninety-six million, three hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 37 41 74 82 148 164 296 328 563 592 656 1126 1369 1517 1681 2252 2738 3034 3362 4504 5476 6068 6724 9008 10952 12136 13448 20831 21904 23083 24272 26896 41662 46166 56129 62197 83324 92332 112258 124394 166648 184664 224516 248788 316969 333296 369328 449032 497576 633938 770747 854071 898064 946403 995152 1267876 1541494 1708142 1892806 2301289 2535752 3082988 3416284 3785612 4602578 5071504 6165976 6832568 7571224 9205156 11727853 12331952 12995729 13665136 15142448 18410312 23455706 25991458 31600627 35016911 36820624 46911412 51982916 63201254 70033822 93822824 103965832 126402508 140067644 187645648 207931664 252805016 280135288 433930561 480841973 505610032 532824889 560270576 867861122 961683946 1065649778 1295625707 1735722244 1923367892 2131299556 2591251414 3471444488 3846735784 4262599112 5182502828 6942888976 7693471568 8525198224 10365005656 17791153001 19714520893 20730011312 35582306002 39429041786 71164612004 78858083572 142329224008 157716167144 284658448016 315432334288 729437273041 1458874546082 2917749092164 5835498184328 11670996368656