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5045118841 = 727321392
BaseRepresentation
bin1001011001011011…
…00110011101111001
3111000121021120222101
410230231212131321
540313022300331
62152342223401
7236010542200
oct45455463571
914017246871
105045118841
112159924504
12b89724b61
136252c8329
1435c088237
151e7dba061
hex12cb66779

5045118841 has 27 divisors (see below), whose sum is σ = 5993423631. Its totient is φ = 4234464864.

The previous prime is 5045118803. The next prime is 5045118847. The reversal of 5045118841 is 1488115405.

The square root of 5045118841 is 71029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2863855225 + 2181263616 = 53515^2 + 46704^2 .

It is not a de Polignac number, because 5045118841 - 229 = 4508247929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5045118841.

It is not an unprimeable number, because it can be changed into a prime (5045118847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36295750 + ... + 36295888.

It is an arithmetic number, because the mean of its divisors is an integer number (221978653).

Almost surely, 25045118841 is an apocalyptic number.

5045118841 is the 71029-th square number.

5045118841 is the 35515-th centered octagonal number.

It is an amenable number.

5045118841 is a deficient number, since it is larger than the sum of its proper divisors (948304790).

5045118841 is an frugal number, since it uses more digits than its factorization.

5045118841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The cubic root of 5045118841 is about 1715.1040281199.

Multiplying 5045118841 by its product of nonzero digits (25600), we get a square (129155042329600 = 113646402).

The spelling of 5045118841 in words is "five billion, forty-five million, one hundred eighteen thousand, eight hundred forty-one".

Divisors: 1 7 49 73 139 511 973 3577 5329 6811 10147 19321 37303 71029 135247 261121 497203 740731 946729 1410433 5185117 9873031 36295819 69111217 102961609 720731263 5045118841