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5023541200 = 245267318661
BaseRepresentation
bin1001010110110110…
…10010011111010000
3110222002200100000111
410223123102133100
540242011304300
62150251531104
7235326252466
oct45333223720
913862610014
105023541200
112148726947
12b82459a94
136209b1ab2
1435926c836
151e60569ba
hex12b6d27d0

5023541200 has 60 divisors (see below), whose sum is σ = 12087638668. Its totient is φ = 2006323200.

The previous prime is 5023541183. The next prime is 5023541213. The reversal of 5023541200 is 21453205.

It can be written as a sum of positive squares in 6 ways, for example, as 1038901824 + 3984639376 = 32232^2 + 63124^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 259870 + ... + 278530.

Almost surely, 25023541200 is an apocalyptic number.

5023541200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5023541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043819334).

5023541200 is an abundant number, since it is smaller than the sum of its proper divisors (7064097468).

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

5023541200 is a wasteful number, since it uses less digits than its factorization.

5023541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352 (or 19341 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5023541200 is about 70876.9440650484. The cubic root of 5023541200 is about 1712.6554049390.

Adding to 5023541200 its reverse (21453205), we get a palindrome (5044994405).

The spelling of 5023541200 in words is "five billion, twenty-three million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 673 1346 2692 3365 5384 6730 10768 13460 16825 18661 26920 33650 37322 53840 67300 74644 93305 134600 149288 186610 269200 298576 373220 466525 746440 933050 1492880 1866100 3732200 7464400 12558853 25117706 50235412 62794265 100470824 125588530 200941648 251177060 313971325 502354120 627942650 1004708240 1255885300 2511770600 5023541200