Search a number
-
+
52348187100 = 2235211294312721
BaseRepresentation
bin110000110000001100…
…011111000111011100
312000010020100102202110
4300300030133013130
51324202113441400
640014243154020
73532144151166
oct606014370734
9160106312673
1052348187100
1120223206850
12a18b375910
134c233b7051
142768543936
151565ad3e50
hexc3031f1dc

52348187100 has 288 divisors, whose sum is σ = 174916304640. Its totient is φ = 11966976000.

The previous prime is 52348187033. The next prime is 52348187141. The reversal of 52348187100 is 178184325.

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 95 ways as a sum of consecutive naturals, for example, 4108740 + ... + 4121460.

It is an arithmetic number, because the mean of its divisors is an integer number (607348280).

Almost surely, 252348187100 is an apocalyptic number.

52348187100 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 52348187100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87458152320).

52348187100 is an abundant number, since it is smaller than the sum of its proper divisors (122568117540).

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

52348187100 is a wasteful number, since it uses less digits than its factorization.

52348187100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 52348187100 in words is "fifty-two billion, three hundred forty-eight million, one hundred eighty-seven thousand, one hundred".