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52344133000 = 2353229228577
BaseRepresentation
bin110000101111111101…
…000001010110001000
312000002221201110120121
4300233331001112020
51324200044224000
640014020233024
73532064534515
oct605775012610
9160087643517
1052344133000
1120220997955
12a189b3b774
134c225c7983
142767baa30c
151565582b1a
hexc2ff41588

52344133000 has 64 divisors (see below), whose sum is σ = 123020679600. Its totient is φ = 20846131200.

The previous prime is 52344132983. The next prime is 52344133007. The reversal of 52344133000 is 33144325.

It can be written as a sum of positive squares in 8 ways, for example, as 1071776644 + 51272356356 = 32738^2 + 226434^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52344133007) 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 15 ways as a sum of consecutive naturals, for example, 114712 + ... + 343288.

Almost surely, 252344133000 is an apocalyptic number.

52344133000 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 52344133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61510339800).

52344133000 is an abundant number, since it is smaller than the sum of its proper divisors (70676546600).

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

52344133000 is a wasteful number, since it uses less digits than its factorization.

52344133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228827 (or 228813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 52344133000 its reverse (33144325), we get a palindrome (52377277325).

The spelling of 52344133000 in words is "fifty-two billion, three hundred forty-four million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 916 1000 1145 1832 2290 4580 5725 9160 11450 22900 28625 45800 57250 114500 228577 229000 457154 914308 1142885 1828616 2285770 4571540 5714425 9143080 11428850 22857700 28572125 45715400 52344133 57144250 104688266 114288500 209376532 228577000 261720665 418753064 523441330 1046882660 1308603325 2093765320 2617206650 5234413300 6543016625 10468826600 13086033250 26172066500 52344133000