Search a number
-
+
48244680000 = 2633541131131
BaseRepresentation
bin101100111011100110…
…110110010101000000
311121112020212200021000
4230323212312111000
51242301114230000
634055134532000
73325356004506
oct547346662500
9147466780230
1048244680000
1119507956170
129425067000
13471b1c473a
142499568676
1513c5715000
hexb3b9b6540

48244680000 has 1120 divisors, whose sum is σ = 201103626240. Its totient is φ = 11232000000.

The previous prime is 48244679957. The next prime is 48244680007. The reversal of 48244680000 is 8644284.

48244680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48244680007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 368279935 + ... + 368280065.

Almost surely, 248244680000 is an apocalyptic number.

48244680000 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 48244680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100551813120).

48244680000 is an abundant number, since it is smaller than the sum of its proper divisors (152858946240).

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

48244680000 is a wasteful number, since it uses less digits than its factorization.

48244680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48244680000 in words is "forty-eight billion, two hundred forty-four million, six hundred eighty thousand".