Search a number
-
+
5043864096 = 2532171030201
BaseRepresentation
bin1001011001010001…
…10100001000100000
3111000111220211210100
410230220310020200
540312212122341
62152255302400
7235664065065
oct45450641040
914014824710
105043864096
112159147827
12b8921aa00
13624c7918b
1435bc3cc6c
151e7c1d3b6
hex12ca34220

5043864096 has 72 divisors (see below), whose sum is σ = 15187237884. Its totient is φ = 1582387200.

The previous prime is 5043864061. The next prime is 5043864107. The reversal of 5043864096 is 6904683405.

It can be written as a sum of positive squares in 2 ways, for example, as 4886010000 + 157854096 = 69900^2 + 12564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 510205 + ... + 519996.

Almost surely, 25043864096 is an apocalyptic number.

It is an amenable number.

5043864096 is an abundant number, since it is smaller than the sum of its proper divisors (10143373788).

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

5043864096 is a wasteful number, since it uses less digits than its factorization.

5043864096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030234 (or 1030223 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5043864096 is about 71020.1668260502. The cubic root of 5043864096 is about 1714.9618314936.

The spelling of 5043864096 in words is "five billion, forty-three million, eight hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1030201 2060402 3090603 4120804 6181206 8241608 9271809 12362412 16483216 17513417 18543618 24724824 32966432 35026834 37087236 49449648 52540251 70053668 74174472 98899296 105080502 140107336 148348944 157620753 210161004 280214672 296697888 315241506 420322008 560429344 630483012 840644016 1260966024 1681288032 2521932048 5043864096