Search a number
-
+
48565816704 = 27371923397
BaseRepresentation
bin101101001110101111…
…111000110110000000
311122100122011010000000
4231032233320312000
51243430322113304
634151050000000
73336335426226
oct551657706600
9148318133000
1048565816704
11196621569a9
1294b4716000
13476c8b3162
1424ca080b16
1513e39eb939
hexb4ebf8d80

48565816704 has 512 divisors, whose sum is σ = 159785856000. Its totient is φ = 14632814592.

The previous prime is 48565816697. The next prime is 48565816709. The reversal of 48565816704 is 40761856584.

48565816704 is a `hidden beast` number, since 4 + 8 + 56 + 581 + 6 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48565816709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122331834 + ... + 122332230.

It is an arithmetic number, because the mean of its divisors is an integer number (312081750).

Almost surely, 248565816704 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 48565816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79892928000).

48565816704 is an abundant number, since it is smaller than the sum of its proper divisors (111220039296).

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

48565816704 is an equidigital number, since it uses as much as digits as its factorization.

48565816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 48565816704 in words is "forty-eight billion, five hundred sixty-five million, eight hundred sixteen thousand, seven hundred four".