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989270016 = 2123723153
BaseRepresentation
bin111010111101110…
…001000000000000
32112221111010100020
4322331301000000
54011223120031
6242055253440
733341441100
oct7275610000
92487433306
10989270016
11468465229
1223737a280
13129c51297
1495557200
155bcb2096
hex3af71000

989270016 has 312 divisors, whose sum is σ = 3227122944. Its totient is φ = 268369920.

The previous prime is 989270003. The next prime is 989270021. The reversal of 989270016 is 610072989.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 989270016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18665446 + ... + 18665498.

Almost surely, 2989270016 is an apocalyptic number.

989270016 is a gapful number since it is divisible by the number (96) 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 989270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613561472).

989270016 is an abundant number, since it is smaller than the sum of its proper divisors (2237852928).

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

989270016 is a wasteful number, since it uses less digits than its factorization.

989270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 989270016 is about 31452.6630986948. The cubic root of 989270016 is about 996.4104693531.

The spelling of 989270016 in words is "nine hundred eighty-nine million, two hundred seventy thousand, sixteen".