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9825164129 = 1110328333061
BaseRepresentation
bin10010010011010000…
…00001101101100001
3221100201210001101202
421021220001231201
5130110220223004
64302535210545
7465322342244
oct111150015541
927321701352
109825164129
11419205a260
121aa2516a55
13c07703cb1
14692c5125b
153c7874b1e
hex249a01b61

9825164129 has 16 divisors (see below), whose sum is σ = 10829779584. Its totient is φ = 8839238400.

The previous prime is 9825164117. The next prime is 9825164131. The reversal of 9825164129 is 9214615289.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9825164129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9825164159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3208259 + ... + 3211319.

It is an arithmetic number, because the mean of its divisors is an integer number (676861224).

Almost surely, 29825164129 is an apocalyptic number.

It is an amenable number.

9825164129 is a deficient number, since it is larger than the sum of its proper divisors (1004615455).

9825164129 is a wasteful number, since it uses less digits than its factorization.

9825164129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008.

The product of its digits is 311040, while the sum is 47.

The square root of 9825164129 is about 99121.9659258229. The cubic root of 9825164129 is about 2141.8050488737.

The spelling of 9825164129 in words is "nine billion, eight hundred twenty-five million, one hundred sixty-four thousand, one hundred twenty-nine".

Divisors: 1 11 103 1133 2833 3061 31163 33671 291799 315283 3209789 3468113 8671813 95389943 893196739 9825164129