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989116380000 = 25335472331367
BaseRepresentation
bin11100110010010111110…
…11100011001101100000
310111120002012222020121000
432121023323203031200
5112201202243130000
62034221020432000
7131314140336330
oct16311373431540
93446065866530
10989116380000
11351533457121
1213b8450a8600
13723724cb4c8
1435c32bcd0c0
151aae1015000
hexe64bee3360

989116380000 has 1920 divisors, whose sum is σ = 4449903575040. Its totient is φ = 208707840000.

The previous prime is 989116379957. The next prime is 989116380019. The reversal of 989116380000 is 83611989.

989116380000 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 1 + 638 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2695139817 + ... + 2695140183.

It is an arithmetic number, because the mean of its divisors is an integer number (2317658112).

Almost surely, 2989116380000 is an apocalyptic number.

989116380000 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 989116380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224951787520).

989116380000 is an abundant number, since it is smaller than the sum of its proper divisors (3460787195040).

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

989116380000 is a wasteful number, since it uses less digits than its factorization.

989116380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

Adding to 989116380000 its reverse (83611989), we get a palindrome (989199991989).

The spelling of 989116380000 in words is "nine hundred eighty-nine billion, one hundred sixteen million, three hundred eighty thousand".