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9985642120 = 235249641053
BaseRepresentation
bin10010100110011000…
…01100111010001000
3221202220202011211001
421103030030322020
5130422311021440
64330510544344
7502311362146
oct112314147210
927686664731
109985642120
1142646a87a3
121b282080b4
13c31a3119c
146aa2a6596
153d69c3b9a
hex25330ce88

9985642120 has 16 divisors (see below), whose sum is σ = 22467694860. Its totient is φ = 3994256832.

The previous prime is 9985642067. The next prime is 9985642129. The reversal of 9985642120 is 212465899.

It can be written as a sum of positive squares in 2 ways, for example, as 8745616324 + 1240025796 = 93518^2 + 35214^2 .

It is not an unprimeable number, because it can be changed into a prime (9985642129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124820487 + ... + 124820566.

Almost surely, 29985642120 is an apocalyptic number.

It is an amenable number.

9985642120 is an abundant number, since it is smaller than the sum of its proper divisors (12482052740).

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

9985642120 is a wasteful number, since it uses less digits than its factorization.

9985642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249641064 (or 249641060 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 9985642120 is about 99928.1848128945. The cubic root of 9985642120 is about 2153.4030923308.

The spelling of 9985642120 in words is "nine billion, nine hundred eighty-five million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 249641053 499282106 998564212 1248205265 1997128424 2496410530 4992821060 9985642120