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11366715559936 = 21211247892
BaseRepresentation
bin1010010101101000010100…
…0010110001000000000000
31111020122110221200022011211
42211122011002301000000
52442213013140404221
640101444054415504
72252134544050432
oct245320502610000
944218427608154
1011366715559936
113692662670900
121336b42061594
13645b520a5439
142b421b004652
1514aa1ae4b6e1
hexa56850b1000

11366715559936 has 117 divisors (see below), whose sum is σ = 24990154221333. Its totient is φ = 5165610024960.

The previous prime is 11366715559933. The next prime is 11366715559961. The reversal of 11366715559936 is 63995551766311.

The square root of 11366715559936 is 3371456.

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

It can be written as a sum of positive squares in only one way, i.e., 788089409536 + 10578626150400 = 887744^2 + 3252480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11366715559933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2373502630 + ... + 2373507418.

Almost surely, 211366715559936 is an apocalyptic number.

11366715559936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11366715559936 is the 3371456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11366715559936

11366715559936 is an abundant number, since it is smaller than the sum of its proper divisors (13623438661397).

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

11366715559936 is an frugal number, since it uses more digits than its factorization.

11366715559936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624 (or 4802 counting only the distinct ones).

The product of its digits is 137781000, while the sum is 67.

The spelling of 11366715559936 in words is "eleven trillion, three hundred sixty-six billion, seven hundred fifteen million, five hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 4789 5632 7744 9578 11264 15488 19156 22528 30976 38312 45056 52679 61952 76624 105358 123904 153248 210716 247808 306496 421432 495616 579469 612992 842864 1158938 1225984 1685728 2317876 2451968 3371456 4635752 4903936 6742912 9271504 9807872 13485824 18543008 19615744 22934521 26971648 37086016 45869042 53943296 74172032 91738084 107886592 148344064 183476168 215773184 252279731 296688128 366952336 504559462 593376256 733904672 1009118924 1186752512 1467809344 2018237848 2373505024 2775077041 2935618688 4036475696 5550154082 5871237376 8072951392 11100308164 11742474752 16145902784 22200616328 23484949504 32291805568 44401232656 46969899008 64583611136 88802465312 93939798016 129167222272 177604930624 258334444544 355209861248 516668889088 710419722496 1033337778176 1420839444992 2841678889984 5683357779968 11366715559936