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989949128688 = 243313283163367
BaseRepresentation
bin11100110011111011001…
…00001110111111110000
310111122020020221021001000
432121331210032333300
5112204403434104223
62034435405242000
7131343601520142
oct16317544167760
93448206837030
10989949128688
11351920525583
1213ba37b63300
1372475ba9500
1435cb1640c92
151ab3e1aa543
hexe67d90eff0

989949128688 has 240 divisors, whose sum is σ = 3114003191040. Its totient is φ = 300928013568.

The previous prime is 989949128681. The next prime is 989949128689. The reversal of 989949128688 is 886821949989.

It is a happy number.

989949128688 is a `hidden beast` number, since 98 + 9 + 94 + 91 + 286 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989949128681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5977981 + ... + 6141347.

It is an arithmetic number, because the mean of its divisors is an integer number (12975013296).

Almost surely, 2989949128688 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 989949128688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557001595520).

989949128688 is an abundant number, since it is smaller than the sum of its proper divisors (2124054062352).

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

989949128688 is a wasteful number, since it uses less digits than its factorization.

989949128688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163493 (or 163468 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 81.

The spelling of 989949128688 in words is "nine hundred eighty-nine billion, nine hundred forty-nine million, one hundred twenty-eight thousand, six hundred eighty-eight".