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11263415657340 = 22357211348281251
BaseRepresentation
bin1010001111100111011111…
…1000111010001101111100
31110212202211210200112120110
42203321313320322031330
52434014433402013330
635542201451150020
72241516640263600
oct243716770721574
943782753615513
1011263415657340
113652873558080
12131ab13145310
1363919ba18b12
142ad21b9d1500
15147ec217cdb0
hexa3e77e3a37c

11263415657340 has 144 divisors (see below), whose sum is σ = 40021695229824. Its totient is φ = 2340450000000.

The previous prime is 11263415657327. The next prime is 11263415657369. The reversal of 11263415657340 is 4375651436211.

It is a self number, because there is not a number n which added to its sum of digits gives 11263415657340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174108286 + ... + 174172965.

It is an arithmetic number, because the mean of its divisors is an integer number (277928439096).

Almost surely, 211263415657340 is an apocalyptic number.

11263415657340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11263415657340 is an abundant number, since it is smaller than the sum of its proper divisors (28758279572484).

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

11263415657340 is a wasteful number, since it uses less digits than its factorization.

11263415657340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348281288 (or 348281279 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 11263415657340 in words is "eleven trillion, two hundred sixty-three billion, four hundred fifteen million, six hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 348281251 696562502 1044843753 1393125004 1741406255 2089687506 2437968757 3482812510 3831093761 4179375012 4875937514 5224218765 6965625020 7313906271 7662187522 9751875028 10448437530 11493281283 12189843785 14627812542 15324375044 17065781299 19155468805 20896875060 22986562566 24379687570 26817656327 29255625084 34131562598 36569531355 38310937610 45973125132 48759375140 51197343897 53635312654 57466406415 68263125196 73139062710 76621875220 80452968981 85328906495 102394687794 107270625308 114932812830 134088281635 146278125420 160905937962 170657812990 187723594289 204789375588 229865625660 255986719485 268176563270 321811875924 341315625980 375447188578 402264844905 511973438970 536353126540 563170782867 750894377156 804529689810 938617971445 1023946877940 1126341565734 1609059379620 1877235942890 2252683131468 2815853914335 3754471885780 5631707828670 11263415657340