Search a number
-
+
11075796993024 = 21032346672
BaseRepresentation
bin1010000100101100100011…
…1100100000010000000000
31110012211120100001212122100
42201023020330200100000
52422431213012234044
635320052332110400
72222125401041301
oct241131074402000
943184510055570
1011075796993024
113590245725705
1212aa692005400
1362459b86959a
142a41000347a8
15143190ba2869
hexa12c8f20400

11075796993024 has 99 divisors (see below), whose sum is σ = 31982046007327. Its totient is φ = 3691825833984.

The previous prime is 11075796993013. The next prime is 11075796993029. The reversal of 11075796993024 is 42039969757011.

The square root of 11075796993024 is 3328032.

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

11075796993024 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 579 + 6 + 9 + 9 + 30 + 24 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11075796993029) 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, 319473739 + ... + 319508405.

Almost surely, 211075796993024 is an apocalyptic number.

11075796993024 is the 3328032-nd square number.

It is an amenable number.

11075796993024 is an abundant number, since it is smaller than the sum of its proper divisors (20906249014303).

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

11075796993024 is an frugal number, since it uses more digits than its factorization.

11075796993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69360 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 11075796993024 in words is "eleven trillion, seventy-five billion, seven hundred ninety-six million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 34667 69334 104001 138668 208002 277336 312003 416004 554672 624006 832008 1109344 1248012 1664016 2218688 2496024 3328032 4437376 4992048 6656064 8874752 9984096 13312128 17749504 19968192 26624256 35499008 39936384 53248512 79872768 106497024 159745536 319491072 1201800889 2403601778 3605402667 4807203556 7210805334 9614407112 10816208001 14421610668 19228814224 21632416002 28843221336 38457628448 43264832004 57686442672 76915256896 86529664008 115372885344 153830513792 173059328016 230745770688 307661027584 346118656032 461491541376 615322055168 692237312064 922983082752 1230644110336 1384474624128 1845966165504 2768949248256 3691932331008 5537898496512 11075796993024