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5141365824 = 26373825421
BaseRepresentation
bin1001100100111001…
…10000010001000000
3111021022101110000110
410302130300101000
541012142201244
62210101151320
7241256613510
oct46234602100
914238343013
105141365824
1121a9192271
12bb59bb540
1363c2267ca
1436ab7d840
1520157c9b9
hex132730440

5141365824 has 56 divisors (see below), whose sum is σ = 15546515008. Its totient is φ = 1468961280.

The previous prime is 5141365759. The next prime is 5141365829. The reversal of 5141365824 is 4285631415.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5141365829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1911367 + ... + 1914054.

Almost surely, 25141365824 is an apocalyptic number.

It is an amenable number.

5141365824 is an abundant number, since it is smaller than the sum of its proper divisors (10405149184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5141365824 is a wasteful number, since it uses less digits than its factorization.

5141365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825443 (or 3825433 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 5141365824 is about 71703.3180822199. The cubic root of 5141365824 is about 1725.9418869602.

The spelling of 5141365824 in words is "five billion, one hundred forty-one million, three hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3825421 7650842 11476263 15301684 22952526 26777947 30603368 45905052 53555894 61206736 80333841 91810104 107111788 122413472 160667682 183620208 214223576 244826944 321335364 367240416 428447152 642670728 734480832 856894304 1285341456 1713788608 2570682912 5141365824