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9872285696 = 213713171941
BaseRepresentation
bin10010011000110111…
…10010000000000000
3221111000110002000222
421030123302000000
5130204301120241
64311341202212
7466434021020
oct111433620000
927430402028
109872285696
1142067143a9
121ab6260368
13c143c2190
146991d9a80
153cba81a4b
hex24c6f2000

9872285696 has 448 divisors, whose sum is σ = 27743627520. Its totient is φ = 3397386240.

The previous prime is 9872285693. The next prime is 9872285701. The reversal of 9872285696 is 6965822789.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9872285693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240787436 + ... + 240787476.

It is an arithmetic number, because the mean of its divisors is an integer number (61927740).

Almost surely, 29872285696 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 9872285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871813760).

9872285696 is an abundant number, since it is smaller than the sum of its proper divisors (17871341824).

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

9872285696 is a wasteful number, since it uses less digits than its factorization.

9872285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 62.

The square root of 9872285696 is about 99359.3764875767. The cubic root of 9872285696 is about 2145.2236276467.

The spelling of 9872285696 in words is "nine billion, eight hundred seventy-two million, two hundred eighty-five thousand, six hundred ninety-six".