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48544530048 = 2732729416183
BaseRepresentation
bin101101001101011110…
…101011111010000000
311122022011002122012100
4231031132223322000
51243404344430143
634145005430400
73335656461060
oct551536537200
9148264078170
1048544530048
1119651137a23
1294a956b400
13476836c1c1
1424c72dd3a0
1513e1be46d3
hexb4d7abe80

48544530048 has 768 divisors, whose sum is σ = 174026361600. Its totient is φ = 12695961600.

The previous prime is 48544530031. The next prime is 48544530059. The reversal of 48544530048 is 84003544584.

It is a junction number, because it is equal to n+sod(n) for n = 48544529985 and 48544530012.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 584873815 + ... + 584873897.

It is an arithmetic number, because the mean of its divisors is an integer number (226596825).

Almost surely, 248544530048 is an apocalyptic number.

48544530048 is a gapful number since it is divisible by the number (48) 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 48544530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87013180800).

48544530048 is an abundant number, since it is smaller than the sum of its proper divisors (125481831552).

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

48544530048 is a wasteful number, since it uses less digits than its factorization.

48544530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 48544530048 in words is "forty-eight billion, five hundred forty-four million, five hundred thirty thousand, forty-eight".