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10827177985 = 513295743861
BaseRepresentation
bin10100001010101100…
…11010000000000001
31000221120020122000001
422011112122000001
5134133224143420
64550212000001
7532210331401
oct120526320001
930846218001
1010827177985
114656729088
122122000001
1310371979c0
14749d64801
15435802b0a
hex28559a001

10827177985 has 16 divisors (see below), whose sum is σ = 14474532240. Its totient is φ = 7719747840.

The previous prime is 10827177979. The next prime is 10827177997. The reversal of 10827177985 is 58977172801.

It can be written as a sum of positive squares in 8 ways, for example, as 3781758016 + 7045419969 = 61496^2 + 83937^2 .

It is not a de Polignac number, because 10827177985 - 211 = 10827175937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870046 + ... + 2873815.

It is an arithmetic number, because the mean of its divisors is an integer number (904658265).

Almost surely, 210827177985 is an apocalyptic number.

It is an amenable number.

10827177985 is a deficient number, since it is larger than the sum of its proper divisors (3647354255).

10827177985 is a wasteful number, since it uses less digits than its factorization.

10827177985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743908.

The product of its (nonzero) digits is 1975680, while the sum is 55.

The spelling of 10827177985 in words is "ten billion, eight hundred twenty-seven million, one hundred seventy-seven thousand, nine hundred eighty-five".

Divisors: 1 5 13 29 65 145 377 1885 5743861 28719305 74670193 166571969 373350965 832859845 2165435597 10827177985