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989223639768 = 233571329414703
BaseRepresentation
bin11100110010100100101…
…00101101101011011000
310111120100200210121100000
432121102110231223120
5112201412222433033
62034235411413000
7131316612126120
oct16312224555330
93446320717300
10989223639768
11351588a56a61
1213b874bb4160
137238b7b4520
1435c4314dc80
151aaea650a13
hexe65252dad8

989223639768 has 768 divisors, whose sum is σ = 3624503500800. Its totient is φ = 245701693440.

The previous prime is 989223639749. The next prime is 989223639799. The reversal of 989223639768 is 867936322989.

989223639768 is a `hidden beast` number, since 9 + 8 + 9 + 223 + 6 + 397 + 6 + 8 = 666.

989223639768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 989223639696 and 989223639705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210336505 + ... + 210341207.

It is an arithmetic number, because the mean of its divisors is an integer number (4719405600).

Almost surely, 2989223639768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989223639768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812251750400).

989223639768 is an abundant number, since it is smaller than the sum of its proper divisors (2635279861032).

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

989223639768 is a wasteful number, since it uses less digits than its factorization.

989223639768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4798 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 989223639768 in words is "nine hundred eighty-nine billion, two hundred twenty-three million, six hundred thirty-nine thousand, seven hundred sixty-eight".