Search a number
-
+
195443849768720 = 245721931211401179
BaseRepresentation
bin101100011100000101010001…
…001111010010111100010000
3221122000020201221011100112012
4230130011101033102330100
5201104123001020044340
61531401355353522052
756111231536325600
oct5434052117227420
9848006657140465
10195443849768720
11573022a8a90473
1219b063b1a13328
138509378359977
143639766016c00
15178de22bea565
hexb1c1513d2f10

195443849768720 has 480 divisors, whose sum is σ = 577089149644800. Its totient is φ = 61143378508800.

The previous prime is 195443849768719. The next prime is 195443849768729. The reversal of 195443849768720 is 27867948344591.

195443849768720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195443849768729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486973091 + ... + 487374269.

It is an arithmetic number, because the mean of its divisors is an integer number (1202269061760).

It is a 1-persistent number, because it is pandigital, but 2⋅195443849768720 = 390887699537440 is not.

Almost surely, 2195443849768720 is an apocalyptic number.

195443849768720 is a gapful number since it is divisible by the number (10) 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 195443849768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288544574822400).

195443849768720 is an abundant number, since it is smaller than the sum of its proper divisors (381645299876080).

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

195443849768720 is a wasteful number, since it uses less digits than its factorization.

195443849768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401467 (or 401454 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 77.

The spelling of 195443849768720 in words is "one hundred ninety-five trillion, four hundred forty-three billion, eight hundred forty-nine million, seven hundred sixty-eight thousand, seven hundred twenty".