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989010000 = 2435541137
BaseRepresentation
bin111010111100110…
…001100001010000
32112220222220200000
4322330301201100
54011141310000
6242045530000
733336306036
oct7274614120
92486886600
10989010000
114682a7940
12237273900
13129b8cb24
14954ca556
155bc60000
hex3af31850

989010000 has 600 divisors, whose sum is σ = 4018638624. Its totient is φ = 233280000.

The previous prime is 989009993. The next prime is 989010053. The reversal of 989010000 is 10989.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26729982 + ... + 26730018.

Almost surely, 2989010000 is an apocalyptic number.

989010000 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 989010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009319312).

989010000 is an abundant number, since it is smaller than the sum of its proper divisors (3029628624).

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

989010000 is a wasteful number, since it uses less digits than its factorization.

989010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 989010000 is about 31448.5293773811. The cubic root of 989010000 is about 996.3231641137.

Adding to 989010000 its reverse (10989), we get a palindrome (989020989).

Multiplying 989010000 by its reverse (10989), we get a square (10868230890000 = 32967002).

989010000 divided by its reverse (10989) gives a square (90000 = 3002).

The spelling of 989010000 in words is "nine hundred eighty-nine million, ten thousand".