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4968976320 = 263357211297
BaseRepresentation
bin1001010000010110…
…01000111111000000
3110211022000011002000
410220023020333000
540134024220240
62141022224000
7234064413300
oct45013107700
913738004060
104968976320
11211a948500
12b68125000
136125b8999
14351d07600
151e1379430
hex1282c8fc0

4968976320 has 1008 divisors, whose sum is σ = 22644750240. Its totient is φ = 1021870080.

The previous prime is 4968976307. The next prime is 4968976321. The reversal of 4968976320 is 236798694.

It is a happy number.

4968976320 is a `hidden beast` number, since 496 + 8 + 97 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (4968976321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226512 + ... + 51226608.

It is an arithmetic number, because the mean of its divisors is an integer number (22465030).

Almost surely, 24968976320 is an apocalyptic number.

4968976320 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 4968976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322375120).

4968976320 is an abundant number, since it is smaller than the sum of its proper divisors (17675773920).

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

4968976320 is a wasteful number, since it uses less digits than its factorization.

4968976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4968976320 is about 70490.9662297234. The cubic root of 4968976320 is about 1706.4319569265.

The spelling of 4968976320 in words is "four billion, nine hundred sixty-eight million, nine hundred seventy-six thousand, three hundred twenty".