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2056445465985 = 3251091135336929
BaseRepresentation
bin11101111011001101101…
…100111001010110000001
321021121001012221121201100
4131323031230321112001
5232143100014402420
64212415031125013
7301400431022601
oct35731554712601
97247035847640
102056445465985
11723151943929
12292677513769
1311bbca76cba1
147176522ac01
153875d650190
hex1decdb39581

2056445465985 has 48 divisors (see below), whose sum is σ = 3597621627600. Its totient is φ = 1086583652352.

The previous prime is 2056445465947. The next prime is 2056445465999. The reversal of 2056445465985 is 5895645446502.

2056445465985 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 4 + 4 + 546 + 5 + 9 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2085109569 + 2054360356416 = 45663^2 + 1433304^2 .

It is not a de Polignac number, because 2056445465985 - 217 = 2056445334913 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55668001 + ... + 55704929.

It is an arithmetic number, because the mean of its divisors is an integer number (74950450575).

Almost surely, 22056445465985 is an apocalyptic number.

It is an amenable number.

2056445465985 is a deficient number, since it is larger than the sum of its proper divisors (1541176161615).

2056445465985 is a wasteful number, since it uses less digits than its factorization.

2056445465985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48402 (or 48399 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 2056445465985 in words is "two trillion, fifty-six billion, four hundred forty-five million, four hundred sixty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 11353 34059 36929 56765 102177 110787 170295 184645 332361 510885 553935 1237477 1661805 3712431 4025261 6187385 11137293 12075783 18562155 20126305 36227349 55686465 60378915 181136745 419254937 1257764811 2096274685 3773294433 6288824055 18866472165 45698788133 137096364399 228493940665 411289093197 685481821995 2056445465985