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989706816 = 26337174813
BaseRepresentation
bin111010111111011…
…011101001000000
32112222022022112000
4322333123221000
54011331104231
6242112504000
733345240420
oct7277335100
92488268460
10989706816
1146873341a
1223754b000
1312a075047
149562c480
155bd4b6e6
hex3afdba40

989706816 has 224 divisors, whose sum is σ = 3521537280. Its totient is φ = 266084352.

The previous prime is 989706793. The next prime is 989706829. The reversal of 989706816 is 618607989.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203226 + ... + 208038.

Almost surely, 2989706816 is an apocalyptic number.

989706816 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 989706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760768640).

989706816 is an abundant number, since it is smaller than the sum of its proper divisors (2531830464).

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

989706816 is a wasteful number, since it uses less digits than its factorization.

989706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 989706816 is about 31459.6061005220. The cubic root of 989706816 is about 996.5570987009.

The spelling of 989706816 in words is "nine hundred eighty-nine million, seven hundred six thousand, eight hundred sixteen".