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10509827327 = 437131111069
BaseRepresentation
bin10011100100110111…
…10011110011111111
31000010110002112201222
421302123303303333
5133011003433302
64454514023555
7521305025666
oct116233636377
930113075658
1010509827327
11450358390a
122053877bbb
13cb650364c
14719b55ddd
15417a17da2
hex2726f3cff

10509827327 has 16 divisors (see below), whose sum is σ = 10941765120. Its totient is φ = 10087375200.

The previous prime is 10509827323. The next prime is 10509827369. The reversal of 10509827327 is 72372890501.

It is a cyclic number.

It is not a de Polignac number, because 10509827327 - 22 = 10509827323 is a prime.

It is a super-2 number, since 2×105098273272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509827323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943949 + ... + 955017.

It is an arithmetic number, because the mean of its divisors is an integer number (683860320).

Almost surely, 210509827327 is an apocalyptic number.

10509827327 is a deficient number, since it is larger than the sum of its proper divisors (431937793).

10509827327 is a wasteful number, since it uses less digits than its factorization.

10509827327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 10509827327 in words is "ten billion, five hundred nine million, eight hundred twenty-seven thousand, three hundred twenty-seven".

Divisors: 1 43 71 311 3053 11069 13373 22081 475967 785899 949483 3442459 33793657 148025737 244414589 10509827327