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5047107849 = 32721721992
BaseRepresentation
bin1001011001101010…
…01100000100001001
3111000202000122101100
410230311030010021
540314024422344
62152453012013
7236033465100
oct45465140411
914022018340
105047107849
11215aa62913
12b8a324009
13625843764
1435c445037
151e815e569
hex12cd4c109

5047107849 has 81 divisors (see below), whose sum is σ = 9054210087. Its totient is φ = 2700770688.

The previous prime is 5047107827. The next prime is 5047107851. The reversal of 5047107849 is 9487017405.

It is a happy number.

The square root of 5047107849 is 71043.

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

5047107849 is a `hidden beast` number, since 504 + 71 + 0 + 78 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3929409225 + 1117698624 = 62685^2 + 33432^2 .

It is not a de Polignac number, because 5047107849 - 219 = 5046583561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5047107899) 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 80 ways as a sum of consecutive naturals, for example, 25362252 + ... + 25362450.

Almost surely, 25047107849 is an apocalyptic number.

5047107849 is the 71043-rd square number.

5047107849 is the 35522-nd centered octagonal number.

It is an amenable number.

5047107849 is a deficient number, since it is larger than the sum of its proper divisors (4007102238).

5047107849 is a wasteful number, since it uses less digits than its factorization.

5047107849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The cubic root of 5047107849 is about 1715.3293883500.

It can be divided in two parts, 5047 and 107849, that added together give a square (112896 = 3362).

The spelling of 5047107849 in words is "five billion, forty-seven million, one hundred seven thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 199 289 357 441 597 833 867 1071 1393 1791 2023 2499 2601 3383 4179 6069 7497 9751 10149 12537 14161 18207 23681 29253 30447 39601 42483 57511 71043 87759 118803 127449 165767 172533 213129 277207 356409 402577 497301 517599 673217 831621 1207731 1491903 1940449 2019651 2494863 2818039 3623193 4712519 5821347 6058953 8454117 11444689 14137557 17464041 25362351 32987633 34334067 42412671 80112823 98962899 103002201 240338469 296888697 560789761 721015407 1682369283 5047107849