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48252814848 = 2932712711779
BaseRepresentation
bin101100111100000101…
…111000011000000000
311121112211011222011200
4230330011320120000
51242310210033343
634100025141200
73325515105330
oct547405703000
9147484158150
1048252814848
1119511501a87
12942792a800
13471cab2364
14249a6850c0
1513c62c04d3
hexb3c178600

48252814848 has 240 divisors, whose sum is σ = 160422113280. Its totient is φ = 13676802048.

The previous prime is 48252814823. The next prime is 48252814853. The reversal of 48252814848 is 84841825284.

It is a happy number.

48252814848 is a `hidden beast` number, since 4 + 82 + 5 + 2 + 81 + 484 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48252814794 and 48252814803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090623 + ... + 4102401.

It is an arithmetic number, because the mean of its divisors is an integer number (668425472).

Almost surely, 248252814848 is an apocalyptic number.

48252814848 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 48252814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80211056640).

48252814848 is an abundant number, since it is smaller than the sum of its proper divisors (112169298432).

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

48252814848 is a wasteful number, since it uses less digits than its factorization.

48252814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11918 counting only the distinct ones).

The product of its digits is 5242880, while the sum is 54.

The spelling of 48252814848 in words is "forty-eight billion, two hundred fifty-two million, eight hundred fourteen thousand, eight hundred forty-eight".