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9809485056 = 283274712941
BaseRepresentation
bin10010010001011000…
…01101110100000000
3221022122021110202100
421020230031310000
5130042212010211
64301215150400
7465042150540
oct111054156400
927278243670
109809485056
114184220348
121a99215400
13c043a4537
14690b2d320
153c62c9156
hex248b0dd00

9809485056 has 216 divisors, whose sum is σ = 33013903104. Its totient is φ = 2742865920.

The previous prime is 9809485051. The next prime is 9809485069. The reversal of 9809485056 is 6505849089.

It is a happy number.

9809485056 is a `hidden beast` number, since 98 + 0 + 9 + 48 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9809484993 and 9809485011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9809485051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751546 + ... + 764486.

It is an arithmetic number, because the mean of its divisors is an integer number (152842144).

Almost surely, 29809485056 is an apocalyptic number.

9809485056 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 9809485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506951552).

9809485056 is an abundant number, since it is smaller than the sum of its proper divisors (23204418048).

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

9809485056 is a wasteful number, since it uses less digits than its factorization.

9809485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9809485056 is about 99042.8445471958. The cubic root of 9809485056 is about 2140.6651392721.

The spelling of 9809485056 in words is "nine billion, eight hundred nine million, four hundred eighty-five thousand, fifty-six".