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4790788128 = 2532723277373
BaseRepresentation
bin1000111011000110…
…11010000000100000
3110100212201020211100
410131203122000200
534302420210003
62111215114400
7226502012220
oct43543320040
913325636740
104790788128
112039303035
12b18512a00
135b46ca699
143363a2080
151d08ccba3
hex11d8da020

4790788128 has 288 divisors, whose sum is σ = 16349389056. Its totient is φ = 1301059584.

The previous prime is 4790788109. The next prime is 4790788129. The reversal of 4790788128 is 8218870974.

It is a happy number.

4790788128 is a `hidden beast` number, since 479 + 0 + 78 + 81 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4790788129) 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, 12843750 + ... + 12844122.

It is an arithmetic number, because the mean of its divisors is an integer number (56768712).

Almost surely, 24790788128 is an apocalyptic number.

4790788128 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 4790788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174694528).

4790788128 is an abundant number, since it is smaller than the sum of its proper divisors (11558600928).

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

4790788128 is a wasteful number, since it uses less digits than its factorization.

4790788128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 4790788128 is about 69215.5194158073. The cubic root of 4790788128 is about 1685.7855293018.

The spelling of 4790788128 in words is "four billion, seven hundred ninety million, seven hundred eighty-eight thousand, one hundred twenty-eight".