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4839383072160 = 25335721317314771
BaseRepresentation
bin100011001101100000110…
…1101010111110110100000
3122010122021221000210112000
41012123001231113312200
51113242024031302120
614143103142204000
71006430265254400
oct106330155276640
918118257023460
104839383072160
1115a640964438a
12661aa3723600
13291476082ab0
1412a327d60800
1585d3ba20990
hex466c1b57da0

4839383072160 has 4608 divisors, whose sum is σ = 24018777538560. Its totient is φ = 897387724800.

The previous prime is 4839383072131. The next prime is 4839383072221. The reversal of 4839383072160 is 612703839384.

4839383072160 is a `hidden beast` number, since 4 + 8 + 39 + 383 + 0 + 72 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4839383072097 and 4839383072106.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 68160324925 + ... + 68160324995.

It is an arithmetic number, because the mean of its divisors is an integer number (5212408320).

Almost surely, 24839383072160 is an apocalyptic number.

4839383072160 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 4839383072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009388769280).

4839383072160 is an abundant number, since it is smaller than the sum of its proper divisors (19179394466400).

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

4839383072160 is a wasteful number, since it uses less digits than its factorization.

4839383072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4839383072160 in words is "four trillion, eight hundred thirty-nine billion, three hundred eighty-three million, seventy-two thousand, one hundred sixty".