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9889096896 = 26357219683
BaseRepresentation
bin10010011010110111…
…11010010011000000
3221112012002011200000
421031123322103000
5130223102100041
64313141400000
7500026636200
oct111533722300
927465064600
109889096896
114215156958
121abba09000
13c17a2a033
1469b534400
153cd2a2bb6
hex24d6fa4c0

9889096896 has 504 divisors, whose sum is σ = 36046745280. Its totient is φ = 2672828928.

The previous prime is 9889096891. The next prime is 9889096897. The reversal of 9889096896 is 6986909889.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (9889096891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14478571 + ... + 14479253.

It is an arithmetic number, because the mean of its divisors is an integer number (71521320).

Almost surely, 29889096896 is an apocalyptic number.

9889096896 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 9889096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023372640).

9889096896 is an abundant number, since it is smaller than the sum of its proper divisors (26157648384).

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

9889096896 is a wasteful number, since it uses less digits than its factorization.

9889096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The square root of 9889096896 is about 99443.9384578065. The cubic root of 9889096896 is about 2146.4406147180.

The spelling of 9889096896 in words is "nine billion, eight hundred eighty-nine million, ninety-six thousand, eight hundred ninety-six".