Search a number
-
+
6421385103024 = 2431728910947717
BaseRepresentation
bin101110101110001100001…
…1000001100011010110000
3211201212201100221201021210
41131130120120030122300
51320201444041244044
621353535452120120
71231633623535263
oct135343030143260
924655640851253
106421385103024
112056326538211
12878610a66040
133776c3309a48
14182b221cccda
15b207ceed1b9
hex5d71860c6b0

6421385103024 has 240 divisors, whose sum is σ = 17983635357600. Its totient is φ = 1973600944128.

The previous prime is 6421385103013. The next prime is 6421385103037. The reversal of 6421385103024 is 4203015831246.

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 47 ways as a sum of consecutive naturals, for example, 134548414 + ... + 134596130.

It is an arithmetic number, because the mean of its divisors is an integer number (74931813990).

Almost surely, 26421385103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6421385103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991817678800).

6421385103024 is an abundant number, since it is smaller than the sum of its proper divisors (11562250254576).

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

6421385103024 is a wasteful number, since it uses less digits than its factorization.

6421385103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47960 (or 47937 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 6421385103024 in words is "six trillion, four hundred twenty-one billion, three hundred eighty-five million, one hundred three thousand, twenty-four".