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48884381280 = 25345717291093
BaseRepresentation
bin101101100001101111…
…000111011001100000
311200011211120212110000
4231201233013121200
51300103400200110
634242425540000
73350254246020
oct554157073140
9150154525400
1048884381280
1119805a60209
129583344600
1347c08b0bc7
14251a4c7a80
1514119761c0
hexb61bc7660

48884381280 has 960 divisors, whose sum is σ = 216161447040. Its totient is φ = 10144382976.

The previous prime is 48884381269. The next prime is 48884381281. The reversal of 48884381280 is 8218348884.

48884381280 is a `hidden beast` number, since 4 + 8 + 88 + 438 + 128 + 0 = 666.

48884381280 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48884381281) 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, 44724414 + ... + 44725506.

It is an arithmetic number, because the mean of its divisors is an integer number (225168174).

Almost surely, 248884381280 is an apocalyptic number.

48884381280 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 48884381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108080723520).

48884381280 is an abundant number, since it is smaller than the sum of its proper divisors (167277065760).

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

48884381280 is a wasteful number, since it uses less digits than its factorization.

48884381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 48884381280 in words is "forty-eight billion, eight hundred eighty-four million, three hundred eighty-one thousand, two hundred eighty".