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11007816746810 = 2513617137237461
BaseRepresentation
bin1010000000101111010100…
…0000011100011100111010
31102222100002200020120002112
42200023311000130130322
52420323002041344220
635224530551332322
72214200650345532
oct240136500343472
942870080216075
1011007816746810
113564430642544
12129947b6810a2
1361b0569c4620
142a0ad177a4c2
15141512a575c5
hexa02f501c73a

11007816746810 has 32 divisors (see below), whose sum is σ = 21372813382032. Its totient is φ = 4057837217280.

The previous prime is 11007816746743. The next prime is 11007816746819. The reversal of 11007816746810 is 1864761870011.

It is a Cunningham number, because it is equal to 33178032+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3163599379801 + 7844217367009 = 1778651^2 + 2800753^2 .

It is a super-2 number, since 2×110078167468102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11007816746819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68538521 + ... + 68698940.

Almost surely, 211007816746810 is an apocalyptic number.

11007816746810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11007816746810 is a deficient number, since it is larger than the sum of its proper divisors (10364996635222).

11007816746810 is a wasteful number, since it uses less digits than its factorization.

11007816746810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137238098.

The product of its (nonzero) digits is 451584, while the sum is 50.

The spelling of 11007816746810 in words is "eleven trillion, seven billion, eight hundred sixteen million, seven hundred forty-six thousand, eight hundred ten".

Divisors: 1 2 5 10 13 26 65 130 617 1234 3085 6170 8021 16042 40105 80210 137237461 274474922 686187305 1372374610 1784086993 3568173986 8920434965 17840869930 84675513437 169351026874 423377567185 846755134370 1100781674681 2201563349362 5503908373405 11007816746810