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11116663549344 = 2532257247360733
BaseRepresentation
bin1010000111000100110011…
…0010000010110110100000
31110100202001101201000221100
42201301030302002312200
52424113411332034334
635350531424154400
72225103200040333
oct241611462026640
943322041630840
1011116663549344
1135a66068432a1
1212b6598168a00
136283b2305c62
142a609973461a
151442837abc99
hexa1c4cc82da0

11116663549344 has 144 divisors (see below), whose sum is σ = 31749375562632. Its totient is φ = 3689582690304.

The previous prime is 11116663549339. The next prime is 11116663549379. The reversal of 11116663549344 is 44394536661111.

It can be written as a sum of positive squares in 4 ways, for example, as 11115689360400 + 974188944 = 3334020^2 + 31212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 183011202 + ... + 183071934.

Almost surely, 211116663549344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11116663549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874687781316).

11116663549344 is an abundant number, since it is smaller than the sum of its proper divisors (20632712013288).

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

11116663549344 is a wasteful number, since it uses less digits than its factorization.

11116663549344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63479 (or 63468 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 11116663549344 in words is "eleven trillion, one hundred sixteen billion, six hundred sixty-three million, five hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1542 2056 2313 2473 3084 4112 4626 4946 6168 7419 8224 9252 9892 12336 14838 18504 19784 22257 24672 29676 37008 39568 44514 59352 60733 74016 79136 89028 118704 121466 178056 182199 237408 242932 356112 364398 485864 546597 635561 712224 728796 971728 1093194 1271122 1457592 1906683 1943456 2186388 2542244 2915184 3813366 4372776 5084488 5720049 5830368 7626732 8745552 10168976 11440098 15253464 15608381 17491104 20337952 22880196 30506928 31216762 45760392 46825143 61013856 62433524 91520784 93650286 124867048 140475429 150192709 183041568 187300572 249734096 280950858 300385418 374601144 450578127 499468192 561901716 600770836 749202288 901156254 1123803432 1201541672 1351734381 1498404576 1802312508 2247606864 2403083344 2703468762 3604625016 4495213728 4806166688 5406937524 7209250032 10813875048 14418500064 21627750096 38599526213 43255500192 77199052426 115798578639 154398104852 231597157278 308796209704 347395735917 463194314556 617592419408 694791471834 926388629112 1235184838816 1389582943668 1852777258224 2779165887336 3705554516448 5558331774672 11116663549344