Search a number
-
+
52805975040 = 2103257313257
BaseRepresentation
bin110001001011011110…
…110011110000000000
312001022010202110202100
4301023132303300000
51331121312200130
640131515150400
73546403245000
oct611336636000
9161263673670
1052805975040
1120438661695
12a298745400
134c971ac7a0
1427ad26c000
151590daec60
hexc4b7b3c00

52805975040 has 1056 divisors, whose sum is σ = 230685436800. Its totient is φ = 11098128384.

The previous prime is 52805975029. The next prime is 52805975087. The reversal of 52805975040 is 4057950825.

52805975040 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 597 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 205470592 + ... + 205470848.

Almost surely, 252805975040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52805975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115342718400).

52805975040 is an abundant number, since it is smaller than the sum of its proper divisors (177879461760).

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

52805975040 is a wasteful number, since it uses less digits than its factorization.

52805975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 52805975040 in words is "fifty-two billion, eight hundred five million, nine hundred seventy-five thousand, forty".