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4831130304 = 263473111319
BaseRepresentation
bin1000111111111010…
…10011001011000000
3110110200121211220000
410133331103023000
534343232132204
62115215520000
7230501634000
oct43775231300
913420554800
104831130304
11205a057780
12b29b29000
135bcb83bb0
1433b8a4000
151d41eb039
hex11ff532c0

4831130304 has 1120 divisors, whose sum is σ = 20653248000. Its totient is φ = 1097349120.

The previous prime is 4831130263. The next prime is 4831130309. The reversal of 4831130304 is 4030311384.

4831130304 is a `hidden beast` number, since 48 + 311 + 3 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4831130309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254270007 + ... + 254270025.

It is an arithmetic number, because the mean of its divisors is an integer number (18440400).

Almost surely, 24831130304 is an apocalyptic number.

4831130304 is a gapful number since it is divisible by the number (44) 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 4831130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326624000).

4831130304 is an abundant number, since it is smaller than the sum of its proper divisors (15822117696).

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

4831130304 is a wasteful number, since it uses less digits than its factorization.

4831130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4831130304 is about 69506.3328337785. The cubic root of 4831130304 is about 1690.5041857849.

Adding to 4831130304 its reverse (4030311384), we get a palindrome (8861441688).

The spelling of 4831130304 in words is "four billion, eight hundred thirty-one million, one hundred thirty thousand, three hundred four".