Search a number
-
+
52433264100 = 223527414611321
BaseRepresentation
bin110000110101010001…
…000001110111100100
312000100011102210110110
4300311101001313210
51324340403422400
640030522453020
73534226251120
oct606521016744
9160304383413
1052433264100
1120267235418
12a1b3964170
134c37c04279
14277596c580
15156d2dbe50
hexc35441de4

52433264100 has 288 divisors, whose sum is σ = 178128099072. Its totient is φ = 11658240000.

The previous prime is 52433264099. The next prime is 52433264119. The reversal of 52433264100 is 146233425.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39691440 + ... + 39692760.

It is an arithmetic number, because the mean of its divisors is an integer number (618500344).

Almost surely, 252433264100 is an apocalyptic number.

52433264100 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 52433264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89064049536).

52433264100 is an abundant number, since it is smaller than the sum of its proper divisors (125694834972).

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

52433264100 is a wasteful number, since it uses less digits than its factorization.

52433264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 52433264100 its reverse (146233425), we get a palindrome (52579497525).

The spelling of 52433264100 in words is "fifty-two billion, four hundred thirty-three million, two hundred sixty-four thousand, one hundred".