Search a number
-
+
48443616000000 = 21133561319227
BaseRepresentation
bin10110000001111001010001…
…00001011111100000000000
320100112011102220002011011000
423000330220201133200000
522322200011144000000
6251010405010452000
713126635651615654
oct1300745041374000
9210464386064130
1048443616000000
1114487905344aa1
125524844b94000
1321052a0a72180
14bd697d840a64
155901e2735000
hex2c0f2885f800

48443616000000 has 2688 divisors, whose sum is σ = 204235510752000. Its totient is φ = 11247206400000.

The previous prime is 48443615999993. The next prime is 48443616000001. The reversal of 48443616000000 is 61634484.

48443616000000 is a `hidden beast` number, since 4 + 8 + 4 + 43 + 6 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48443616000001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 213407999887 + ... + 213408000113.

It is an arithmetic number, because the mean of its divisors is an integer number (75980472750).

Almost surely, 248443616000000 is an apocalyptic number.

48443616000000 is a gapful number since it is divisible by the number (40) 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 48443616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102117755376000).

48443616000000 is an abundant number, since it is smaller than the sum of its proper divisors (155791894752000).

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

48443616000000 is an equidigital number, since it uses as much as digits as its factorization.

48443616000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 48443616000000 its reverse (61634484), we get a palindrome (48443677634484).

The spelling of 48443616000000 in words is "forty-eight trillion, four hundred forty-three billion, six hundred sixteen million", and thus it is an aban number.