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11069829705690 = 2325719191995593
BaseRepresentation
bin1010000100010110010101…
…0001000110111111011010
31110012021011110120021022100
42201011211101012333122
52422332002401040230
635313224244304230
72221524461660160
oct241054521067732
943167143507270
1011069829705690
113588763308388
1212a94a76a2076
13623b5a4b5432
142a3ad56dd230
15142e41d7c660
hexa1165446fda

11069829705690 has 96 divisors (see below), whose sum is σ = 33065424377856. Its totient is φ = 2516999397120.

The previous prime is 11069829705689. The next prime is 11069829705757. The reversal of 11069829705690 is 9650792896011.

11069829705690 is a `hidden beast` number, since 1 + 1 + 0 + 69 + 8 + 2 + 9 + 7 + 0 + 569 + 0 = 666.

It is a super-2 number, since 2×110698297056902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon 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, 45877467 + ... + 46118126.

It is an arithmetic number, because the mean of its divisors is an integer number (344431503936).

Almost surely, 211069829705690 is an apocalyptic number.

11069829705690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11069829705690 is an abundant number, since it is smaller than the sum of its proper divisors (21995594672166).

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

11069829705690 is a wasteful number, since it uses less digits than its factorization.

11069829705690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91995804 (or 91995801 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 11069829705690 in words is "eleven trillion, sixty-nine billion, eight hundred twenty-nine million, seven hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 191 210 315 382 573 630 955 1146 1337 1719 1910 2674 2865 3438 4011 5730 6685 8022 8595 12033 13370 17190 20055 24066 40110 60165 120330 91995593 183991186 275986779 459977965 551973558 643969151 827960337 919955930 1287938302 1379933895 1655920674 1931907453 2759867790 3219845755 3863814906 4139801685 5795722359 6439691510 8279603370 9659537265 11591444718 17571158263 19319074530 28978611795 35142316526 52713474789 57957223590 87855791315 105426949578 122998107841 158140424367 175711582630 245996215682 263567373945 316280848734 368994323523 527134747890 614990539205 737988647046 790702121835 1106982970569 1229981078410 1581404243670 1844971617615 2213965941138 3689943235230 5534914852845 11069829705690