Search a number
-
+
4858940016000 = 273253719924223
BaseRepresentation
bin100011010110100111101…
…1001001100010110000000
3122012111202212212110222100
41012231033121030112000
51114102102121003000
614200055523310400
71011022030452360
oct106551731142600
918174685773870
104858940016000
111603734a6a794
1266584121b400
13293271a22505
1412b2614749a0
15865d3920a00
hex46b4f64c580

4858940016000 has 768 divisors, whose sum is σ = 20043518976000. Its totient is φ = 1104988262400.

The previous prime is 4858940015987. The next prime is 4858940016061. The reversal of 4858940016000 is 6100498584.

4858940016000 is a `hidden beast` number, since 4 + 8 + 5 + 89 + 400 + 160 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200579889 + ... + 200604111.

It is an arithmetic number, because the mean of its divisors is an integer number (26098332000).

Almost surely, 24858940016000 is an apocalyptic number.

4858940016000 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 4858940016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021759488000).

4858940016000 is an abundant number, since it is smaller than the sum of its proper divisors (15184578960000).

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

4858940016000 is a wasteful number, since it uses less digits than its factorization.

4858940016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464 (or 24439 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4858940016000 in words is "four trillion, eight hundred fifty-eight billion, nine hundred forty million, sixteen thousand".