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4869009684 = 22337113171847
BaseRepresentation
bin1001000100011011…
…10011000100010100
3110120022220022122000
410202031303010110
534432431302214
62123051435300
7231441620340
oct44215630424
913508808560
104869009684
11207947a050
12b3a755b30
135c7987426
14342924620
151d76ce809
hex122373114

4869009684 has 192 divisors, whose sum is σ = 15796408320. Its totient is φ = 1260005760.

The previous prime is 4869009683. The next prime is 4869009689.

4869009684 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4869009684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4869009683) 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 63 ways as a sum of consecutive naturals, for example, 2635249 + ... + 2637095.

It is an arithmetic number, because the mean of its divisors is an integer number (82272960).

Almost surely, 24869009684 is an apocalyptic number.

4869009684 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 4869009684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898204160).

4869009684 is an abundant number, since it is smaller than the sum of its proper divisors (10927398636).

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

4869009684 is a wasteful number, since it uses less digits than its factorization.

4869009684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4869009684 is about 69778.2894889234. The cubic root of 4869009684 is about 1694.9109264806.

The spelling of 4869009684 in words is "four billion, eight hundred sixty-nine million, nine thousand, six hundred eighty-four".