Search a number
-
+
48722216832 = 2732412813671
BaseRepresentation
bin101101011000000100…
…100000011110000000
311122202112110001122100
4231120010200132000
51244240341414312
634214354110400
73343245003252
oct553004403600
9148675401570
1048722216832
111973246a703
129538b7b400
134796113203
142502b53cd2
1514025e25dc
hexb58120780

48722216832 has 192 divisors, whose sum is σ = 144173221920. Its totient is φ = 15783936000.

The previous prime is 48722216821. The next prime is 48722216833. The reversal of 48722216832 is 23861222784.

48722216832 is a `hidden beast` number, since 487 + 2 + 2 + 2 + 168 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48722216833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13270357 + ... + 13274027.

Almost surely, 248722216832 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 48722216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72086610960).

48722216832 is an abundant number, since it is smaller than the sum of its proper divisors (95451005088).

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

48722216832 is a wasteful number, since it uses less digits than its factorization.

48722216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 3998 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 48722216832 in words is "forty-eight billion, seven hundred twenty-two million, two hundred sixteen thousand, eight hundred thirty-two".