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4788363168 = 25333127379
BaseRepresentation
bin1000111010110100…
…01001111110100000
3110100201011001102000
410131122021332200
534301310110133
62111051124000
7226442262321
oct43532117640
913321131360
104788363168
1120379a7136
12b17743600
135b405b9b4
14335d30448
151d059e413
hex11d689fa0

4788363168 has 288 divisors, whose sum is σ = 14813971200. Its totient is φ = 1504189440.

The previous prime is 4788363163. The next prime is 4788363269. The reversal of 4788363168 is 8613638874.

4788363168 is a `hidden beast` number, since 47 + 88 + 363 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4788363163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60612153 + ... + 60612231.

It is an arithmetic number, because the mean of its divisors is an integer number (51437400).

Almost surely, 24788363168 is an apocalyptic number.

4788363168 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 4788363168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406985600).

4788363168 is an abundant number, since it is smaller than the sum of its proper divisors (10025608032).

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

4788363168 is a wasteful number, since it uses less digits than its factorization.

4788363168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 188 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4788363168 is about 69197.9997398769. Note that the first 3 decimals coincide. The cubic root of 4788363168 is about 1685.5010491496.

The spelling of 4788363168 in words is "four billion, seven hundred eighty-eight million, three hundred sixty-three thousand, one hundred sixty-eight".