Search a number
-
+
6321941084160 = 211345133118913
BaseRepresentation
bin101101111111111000100…
…0011010111100000000000
3211101101000221111010210000
41123333301003113200000
51312034313404143120
621240132025440000
71221513410402112
oct133776103274000
924341027433700
106321941084160
112018135a24a59
12861299340000
1336b205a53030
1417bdaad373b2
15ae6ac9d8990
hex5bff10d7800

6321941084160 has 960 divisors, whose sum is σ = 25191378051840. Its totient is φ = 1505891450880.

The previous prime is 6321941084159. The next prime is 6321941084161. The reversal of 6321941084160 is 614801491236.

6321941084160 is a `hidden beast` number, since 6 + 3 + 219 + 4 + 10 + 8 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6321941084159) and next prime (6321941084161).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6321941084161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 334254864 + ... + 334273776.

It is an arithmetic number, because the mean of its divisors is an integer number (26241018804).

Almost surely, 26321941084160 is an apocalyptic number.

6321941084160 is a gapful number since it is divisible by the number (60) 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 6321941084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595689025920).

6321941084160 is an abundant number, since it is smaller than the sum of its proper divisors (18869436967680).

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

6321941084160 is a wasteful number, since it uses less digits than its factorization.

6321941084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996 (or 18967 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6321941084160 in words is "six trillion, three hundred twenty-one billion, nine hundred forty-one million, eighty-four thousand, one hundred sixty".