Search a number
-
+
4961320000 = 26547132947
BaseRepresentation
bin1001001111011011…
…11011110001000000
3110210202121011120121
410213231323301000
540130044220000
62140150150024
7233642344540
oct44755736100
913722534517
104961320000
11211659916a
12b65652314
13610b37b10
14350cb3320
151e0865b1a
hex127b7bc40

4961320000 has 560 divisors, whose sum is σ = 15996879360. Its totient is φ = 1483776000.

The previous prime is 4961319977. The next prime is 4961320019. The reversal of 4961320000 is 231694.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×49613200002 = 49229392284800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 105559977 + ... + 105560023.

It is an arithmetic number, because the mean of its divisors is an integer number (28565856).

Almost surely, 24961320000 is an apocalyptic number.

4961320000 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 4961320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998439680).

4961320000 is an abundant number, since it is smaller than the sum of its proper divisors (11035559360).

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

4961320000 is a wasteful number, since it uses less digits than its factorization.

4961320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 4961320000 is about 70436.6381934856. The cubic root of 4961320000 is about 1705.5550690585. Note that the first 3 decimals are identical.

Adding to 4961320000 its reverse (231694), we get a palindrome (4961551694).

The spelling of 4961320000 in words is "four billion, nine hundred sixty-one million, three hundred twenty thousand".