Search a number
-
+
6221796300000 = 25395529109
BaseRepresentation
bin101101010001001111111…
…1101010101010011100000
3211000210112200102000000000
41122202133331111103200
51303414214323100000
621122130451300000
71211336624646261
oct132423775252340
924023480360000
106221796300000
111a8971589a426
128459aabaa600
1336193624c7b8
141771ca988968
15abc9ac00000
hex5a89ff554e0

6221796300000 has 1440 divisors, whose sum is σ = 23975182677600. Its totient is φ = 1587237120000.

The previous prime is 6221796299993. The next prime is 6221796300019. The reversal of 6221796300000 is 36971226.

6221796300000 is a `hidden beast` number, since 6 + 2 + 2 + 17 + 9 + 630 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 57080699946 + ... + 57080700054.

It is an arithmetic number, because the mean of its divisors is an integer number (16649432415).

Almost surely, 26221796300000 is an apocalyptic number.

6221796300000 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 6221796300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987591338800).

6221796300000 is an abundant number, since it is smaller than the sum of its proper divisors (17753386377600).

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

6221796300000 is an frugal number, since it uses more digits than its factorization.

6221796300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 6221796300000 in words is "six trillion, two hundred twenty-one billion, seven hundred ninety-six million, three hundred thousand".