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5526085003337 = 19419181772663
BaseRepresentation
bin101000001101010010001…
…0101010110100001001001
3201120021210100212022020102
41100122210111112201021
51211014410230101322
615430352015535145
71110150352336103
oct120324425264111
921507710768212
105526085003337
111840665a13058
12752baa82a4b5
13311152478252
1415166d0aa573
1598b2d3e9792
hex506a4556849

5526085003337 has 16 divisors (see below), whose sum is σ = 5959464712320. Its totient is φ = 5106986755200.

The previous prime is 5526085003273. The next prime is 5526085003357. The reversal of 5526085003337 is 7333005806255.

It is a cyclic number.

It is not a de Polignac number, because 5526085003337 - 26 = 5526085003273 is a prime.

It is a super-3 number, since 3×55260850033373 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5526085003291 and 5526085003300.

It is not an unprimeable number, because it can be changed into a prime (5526085003357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6765668 + ... + 7538330.

It is an arithmetic number, because the mean of its divisors is an integer number (372466544520).

Almost surely, 25526085003337 is an apocalyptic number.

It is an amenable number.

5526085003337 is a deficient number, since it is larger than the sum of its proper divisors (433379708983).

5526085003337 is a wasteful number, since it uses less digits than its factorization.

5526085003337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781904.

The product of its (nonzero) digits is 2268000, while the sum is 47.

The spelling of 5526085003337 in words is "five trillion, five hundred twenty-six billion, eighty-five million, three thousand, three hundred thirty-seven".

Divisors: 1 19 41 779 9181 174439 376421 772663 7151999 14680597 31679183 601904477 7093819003 134782561057 290846579123 5526085003337