Search a number
-
+
989442385920 = 21132531418447
BaseRepresentation
bin11100110010111110101…
…11001010100000000000
310111120220221102001122100
432121133113022200000
5112202334222322140
62034313224110400
7131325206341032
oct16313727124000
93446827361570
10989442385920
113516904831aa
1213b916305400
13723c4c03311
1435c64211c52
151ab0e95e530
hexe65f5ca800

989442385920 has 576 divisors, whose sum is σ = 3626616913920. Its totient is φ = 249082675200.

The previous prime is 989442385901. The next prime is 989442385957. The reversal of 989442385920 is 29583244989.

989442385920 is a `hidden beast` number, since 9 + 8 + 9 + 4 + 4 + 2 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 117131137 + ... + 117139583.

It is an arithmetic number, because the mean of its divisors is an integer number (6296209920).

Almost surely, 2989442385920 is an apocalyptic number.

989442385920 is a gapful number since it is divisible by the number (90) 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 989442385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813308456960).

989442385920 is an abundant number, since it is smaller than the sum of its proper divisors (2637174528000).

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

989442385920 is a wasteful number, since it uses less digits than its factorization.

989442385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 989442385920 in words is "nine hundred eighty-nine billion, four hundred forty-two million, three hundred eighty-five thousand, nine hundred twenty".