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988352442000 = 24355375112
BaseRepresentation
bin11100110000111100110…
…01010110111010010000
310111111002222111011200000
432120132121112322100
5112143121211121000
62034013130530000
7131256203100000
oct16303631267220
93444088434600
10988352442000
11351181207200
1213b671296900
13722801638a1
1435b9d570000
151aa98e13000
hexe61e656e90

988352442000 has 2160 divisors, whose sum is σ = 4590633430656. Its totient is φ = 205371936000.

The previous prime is 988352441977. The next prime is 988352442019. The reversal of 988352442000 is 244253889.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

988352442000 is a `hidden beast` number, since 9 + 8 + 83 + 524 + 42 + 0 + 0 + 0 = 666.

988352442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 89850221995 + ... + 89850222005.

Almost surely, 2988352442000 is an apocalyptic number.

988352442000 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 988352442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295316715328).

988352442000 is an abundant number, since it is smaller than the sum of its proper divisors (3602280988656).

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

988352442000 is an frugal number, since it uses more digits than its factorization.

988352442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 988352442000 its reverse (244253889), we get a palindrome (988596695889).

The spelling of 988352442000 in words is "nine hundred eighty-eight billion, three hundred fifty-two million, four hundred forty-two thousand".