Search a number
-
+
4801720014 = 2347213193179
BaseRepresentation
bin1000111100011010…
…00110111011001110
3110101122021122120000
410132031012323032
534313220020024
62112245305130
7226663642500
oct43615067316
913348248500
104801720014
11204449a353
12b201051a6
135b6a57460
14337a09d70
151d183bcc9
hex11e346ece

4801720014 has 480 divisors, whose sum is σ = 14831308800. Its totient is φ = 1146337920.

The previous prime is 4801720009. The next prime is 4801720117. The reversal of 4801720014 is 4100271084.

4801720014 is a `hidden beast` number, since 480 + 172 + 0 + 0 + 14 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4801720014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60781227 + ... + 60781305.

It is an arithmetic number, because the mean of its divisors is an integer number (30898560).

Almost surely, 24801720014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4801720014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415654400).

4801720014 is an abundant number, since it is smaller than the sum of its proper divisors (10029588786).

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

4801720014 is a wasteful number, since it uses less digits than its factorization.

4801720014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4801720014 is about 69294.4443227594. Note that the first 3 decimals coincide. The cubic root of 4801720014 is about 1687.0667948737.

Adding to 4801720014 its reverse (4100271084), we get a palindrome (8901991098).

The spelling of 4801720014 in words is "four billion, eight hundred one million, seven hundred twenty thousand, fourteen".