Search a number
-
+
4421392416896 = 277213537191423
BaseRepresentation
bin100000001010110111110…
…0001100100000010000000
3120122200101102212110001212
41000111233201210002000
51034420002424320041
613223054251545252
7634302140311400
oct100255741440200
916580342773055
104421392416896
111455113832454
125b4a8b45b228
13260c21436710
14113dd46c4800
157a0259b78eb
hex4056f864080

4421392416896 has 384 divisors, whose sum is σ = 11266248268800. Its totient is φ = 1712528842752.

The previous prime is 4421392416863. The next prime is 4421392416923. The reversal of 4421392416896 is 6986142931244.

It is a happy number.

It is a super-3 number, since 3×44213924168963 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3107091641 + ... + 3107093063.

It is an arithmetic number, because the mean of its divisors is an integer number (29339188200).

Almost surely, 24421392416896 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 4421392416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633124134400).

4421392416896 is an abundant number, since it is smaller than the sum of its proper divisors (6844855851904).

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

4421392416896 is a wasteful number, since it uses less digits than its factorization.

4421392416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2217 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 59.

The spelling of 4421392416896 in words is "four trillion, four hundred twenty-one billion, three hundred ninety-two million, four hundred sixteen thousand, eight hundred ninety-six".