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2753305753 = 112371016089
BaseRepresentation
bin1010010000011100…
…0001110010011001
321002212211102110011
42210013001302121
521114321241003
61133112521521
7125141466322
oct24407016231
97085742404
102753305753
111193195400
1264a0b02a1
1334b55b703
141c194b449
15111ab446d
hexa41c1c99

2753305753 has 24 divisors (see below), whose sum is σ = 3139443720. Its totient is φ = 2410848000.

The previous prime is 2753305729. The next prime is 2753305757. The reversal of 2753305753 is 3575033572.

It can be written as a sum of positive squares in 4 ways, for example, as 1328092249 + 1425213504 = 36443^2 + 37752^2 .

It is a de Polignac number, because none of the positive numbers 2k-2753305753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2753305757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449133 + ... + 455221.

It is an arithmetic number, because the mean of its divisors is an integer number (130810155).

Almost surely, 22753305753 is an apocalyptic number.

It is an amenable number.

2753305753 is a deficient number, since it is larger than the sum of its proper divisors (386137967).

2753305753 is a wasteful number, since it uses less digits than its factorization.

2753305753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 40.

The square root of 2753305753 is about 52471.9520601245. The cubic root of 2753305753 is about 1401.5808253762.

The spelling of 2753305753 in words is "two billion, seven hundred fifty-three million, three hundred five thousand, seven hundred fifty-three".

Divisors: 1 11 37 101 121 407 1111 3737 4477 6089 12221 41107 66979 225293 452177 614989 736769 2478223 6764879 22754593 27260453 74413669 250300523 2753305753