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11035906329372 = 22343532347171937
BaseRepresentation
bin1010000010010111111101…
…0001101100101100011100
31110002000121021202012102020
42200211333101230230130
52421303014010014442
635245454140500140
72216214022016331
oct240457721545434
943060537665366
1011035906329372
113575335465691
1212a29ba84a650
136208b23492b2
142a21d81a8988
15142108ab69ec
hexa097f46cb1c

11035906329372 has 96 divisors (see below), whose sum is σ = 26858047087872. Its totient is φ = 3523769174016.

The previous prime is 11035906329361. The next prime is 11035906329379. The reversal of 11035906329372 is 27392360953011.

11035906329372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035906329379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64099788 + ... + 64271724.

It is an arithmetic number, because the mean of its divisors is an integer number (279771323832).

Almost surely, 211035906329372 is an apocalyptic number.

11035906329372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11035906329372 is an abundant number, since it is smaller than the sum of its proper divisors (15822140758500).

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

11035906329372 is a wasteful number, since it uses less digits than its factorization.

11035906329372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174387 (or 174385 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 11035906329372 in words is "eleven trillion, thirty-five billion, nine hundred six million, three hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 43 53 86 106 129 159 172 212 258 318 516 636 2279 2347 4558 4694 6837 7041 9116 9388 13674 14082 27348 28164 100921 124391 171937 201842 248782 302763 343874 373173 403684 497564 515811 605526 687748 746346 1031622 1211052 1492692 2063244 5348813 7393291 9112661 10697626 14786582 16046439 18225322 21395252 22179873 27337983 29573164 32092878 36450644 44359746 54675966 64185756 88719492 109351932 391844423 403536139 783688846 807072278 1175533269 1210608417 1567377692 1614144556 2351066538 2421216834 4702133076 4842433668 17352053977 21387415367 34704107954 42774830734 52056161931 64162246101 69408215908 85549661468 104112323862 128324492202 208224647724 256648984404 919658860781 1839317721562 2758976582343 3678635443124 5517953164686 11035906329372