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5305505000 = 23541061101
BaseRepresentation
bin1001111000011101…
…11001010011101000
3111200202020120122012
410330032321103220
541331202130000
62234243215052
7245322022415
oct47416712350
914622216565
105305505000
112282901484
121040977488
13667236293
143848a910c
15210ba1735
hex13c3b94e8

5305505000 has 40 divisors (see below), whose sum is σ = 12430809930. Its totient is φ = 2122200000.

The previous prime is 5305504973. The next prime is 5305505003. The reversal of 5305505000 is 5055035.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 406344964 + 4899160036 = 20158^2 + 69994^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5305505003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 525551 + ... + 535550.

Almost surely, 25305505000 is an apocalyptic number.

5305505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5305505000 is an abundant number, since it is smaller than the sum of its proper divisors (7125304930).

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

5305505000 is a wasteful number, since it uses less digits than its factorization.

5305505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061127 (or 1061108 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 23.

The square root of 5305505000 is about 72838.8975754027. The cubic root of 5305505000 is about 1744.1168427805.

The spelling of 5305505000 in words is "five billion, three hundred five million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 1061101 2122202 4244404 5305505 8488808 10611010 21222020 26527525 42444040 53055050 106110100 132637625 212220200 265275250 530550500 663188125 1061101000 1326376250 2652752500 5305505000