Search a number
-
+
4993683360 = 25351719311039
BaseRepresentation
bin1001010011010010…
…11000111110100000
3110220000111101202120
410221221120332200
540211340331420
62143303544240
7234514415421
oct45151307640
913800441676
104993683360
112132893246
12b7445b080
13617759733
143552d9648
151e3609d40
hex129a58fa0

4993683360 has 384 divisors, whose sum is σ = 18114969600. Its totient is φ = 1147944960.

The previous prime is 4993683347. The next prime is 4993683361. The reversal of 4993683360 is 633863994.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4993683361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4805721 + ... + 4806759.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 24993683360 is an apocalyptic number.

4993683360 is a gapful number since it is divisible by the number (40) 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 4993683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4993683360 is an abundant number, since it is smaller than the sum of its proper divisors (13121286240).

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

4993683360 is a wasteful number, since it uses less digits than its factorization.

4993683360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The square root of 4993683360 is about 70665.9986131945. The cubic root of 4993683360 is about 1709.2555563975.

The spelling of 4993683360 in words is "four billion, nine hundred ninety-three million, six hundred eighty-three thousand, three hundred sixty".