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9985606121 = 61971687613
BaseRepresentation
bin10010100110011000…
…00100000111101001
3221202220200100102202
421103030010013221
5130422303343441
64330510105545
7502311152201
oct112314040751
927686610382
109985606121
114264683747
121b281ab2b5
13c31a1a99a
146aa297401
153d69b819b
hex2533041e9

9985606121 has 8 divisors (see below), whose sum is σ = 10253942664. Its totient is φ = 9720645120.

The previous prime is 9985606117. The next prime is 9985606151. The reversal of 9985606121 is 1216065899.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1638225625 + 8347380496 = 40475^2 + 91364^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9985606121 - 22 = 9985606117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9985606151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837890 + ... + 849723.

It is an arithmetic number, because the mean of its divisors is an integer number (1281742833).

Almost surely, 29985606121 is an apocalyptic number.

It is an amenable number.

9985606121 is a deficient number, since it is larger than the sum of its proper divisors (268336543).

9985606121 is a wasteful number, since it uses less digits than its factorization.

9985606121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687771.

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 9985606121 is about 99928.0046883755. The cubic root of 9985606121 is about 2153.4005046003.

The spelling of 9985606121 in words is "nine billion, nine hundred eighty-five million, six hundred six thousand, one hundred twenty-one".

Divisors: 1 61 97 5917 1687613 102944393 163698461 9985606121