Search a number
-
+
4946780160 = 213355771
BaseRepresentation
bin1001001101101100…
…11110000000000000
3110202202020110200000
410212312132000000
540112333431120
62134510400000
7233404636410
oct44666360000
913682213600
104946780160
112109368173
12b60800000
1360ab16a6a
1434cdaa640
151de442990
hex126d9e000

4946780160 has 672 divisors, whose sum is σ = 20609551872. Its totient is φ = 1114767360.

The previous prime is 4946780149. The next prime is 4946780203. The reversal of 4946780160 is 610876494.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672925 + ... + 69672995.

It is an arithmetic number, because the mean of its divisors is an integer number (30668976).

Almost surely, 24946780160 is an apocalyptic number.

4946780160 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 4946780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304775936).

4946780160 is an abundant number, since it is smaller than the sum of its proper divisors (15662771712).

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

4946780160 is an frugal number, since it uses more digits than its factorization.

4946780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4946780160 is about 70333.3502685604. The cubic root of 4946780160 is about 1703.8873164922.

The spelling of 4946780160 in words is "four billion, nine hundred forty-six million, seven hundred eighty thousand, one hundred sixty".