Search a number
-
+
5397862809600 = 21735526779
BaseRepresentation
bin100111010001100100110…
…1100100000000000000000
3201010000211100011222100000
41032203021230200000000
51201414310334401400
615251424405200000
71064661033562302
oct116431154400000
921100740158300
105397862809600
1117a124791a0a8
12732185400000
133020299c29b1
14149387b7b972
15956266a8600
hex4e8c9b20000

5397862809600 has 648 divisors, whose sum is σ = 20055386529360. Its totient is φ = 1439217745920.

The previous prime is 5397862809553. The next prime is 5397862809637. The reversal of 5397862809600 is 69082687935.

5397862809600 is a `hidden beast` number, since 5 + 397 + 86 + 2 + 80 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×53978628096002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796259011 + ... + 796265789.

It is an arithmetic number, because the mean of its divisors is an integer number (30949670570).

Almost surely, 25397862809600 is an apocalyptic number.

5397862809600 is a gapful number since it is divisible by the number (50) 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 5397862809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027693264680).

5397862809600 is an abundant number, since it is smaller than the sum of its proper divisors (14657523719760).

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

5397862809600 is an frugal number, since it uses more digits than its factorization.

5397862809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 5397862809600 in words is "five trillion, three hundred ninety-seven billion, eight hundred sixty-two million, eight hundred nine thousand, six hundred".