Search a number
-
+
4926120915200 = 28528311382067
BaseRepresentation
bin100011110101111001110…
…1011111111000100000000
3122102221011211120202120012
41013223303223333010000
51121202143423241300
614251010111204052
71015620603621302
oct107536353770400
918387154522505
104926120915200
11162a179918691
1267686bb16628
132996ba0b2884
141305d58d3972
15882167c2435
hex47af3aff100

4926120915200 has 216 divisors, whose sum is σ = 12449175264288. Its totient is φ = 1929457008640.

The previous prime is 4926120915187. The next prime is 4926120915203. The reversal of 4926120915200 is 25190216294.

It is not an unprimeable number, because it can be changed into a prime (4926120915203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59984567 + ... + 60066633.

It is an arithmetic number, because the mean of its divisors is an integer number (57635070668).

Almost surely, 24926120915200 is an apocalyptic number.

4926120915200 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 4926120915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224587632144).

4926120915200 is an abundant number, since it is smaller than the sum of its proper divisors (7523054349088).

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

4926120915200 is a wasteful number, since it uses less digits than its factorization.

4926120915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82289 (or 82270 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 4926120915200 in words is "four trillion, nine hundred twenty-six billion, one hundred twenty million, nine hundred fifteen thousand, two hundred".