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2424116305 = 513353105649
BaseRepresentation
bin1001000001111101…
…0001010001010001
320020221101212102101
42100133101101101
514431033210210
61040313120401
7114033435322
oct22037212121
96227355371
102424116305
111034394506
125779b9101
132c82b0860
1418dd3a449
15e2c3ba3a
hex907d1451

2424116305 has 16 divisors (see below), whose sum is σ = 3141608400. Its totient is φ = 1785028608.

The previous prime is 2424116297. The next prime is 2424116339. The reversal of 2424116305 is 5036114242.

It can be written as a sum of positive squares in 8 ways, for example, as 22724289 + 2401392016 = 4767^2 + 49004^2 .

It is a cyclic number.

It is not a de Polignac number, because 2424116305 - 23 = 2424116297 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29880 + ... + 75769.

It is an arithmetic number, because the mean of its divisors is an integer number (196350525).

Almost surely, 22424116305 is an apocalyptic number.

It is an amenable number.

2424116305 is a deficient number, since it is larger than the sum of its proper divisors (717492095).

2424116305 is a wasteful number, since it uses less digits than its factorization.

2424116305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106020.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2424116305 is about 49235.3156281139. The cubic root of 2424116305 is about 1343.3354763078.

The spelling of 2424116305 in words is "two billion, four hundred twenty-four million, one hundred sixteen thousand, three hundred five".

Divisors: 1 5 13 65 353 1765 4589 22945 105649 528245 1373437 6867185 37294097 186470485 484823261 2424116305