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9940005001 = 4310719111311
BaseRepresentation
bin10010100000111100…
…00111000010001001
3221122201212120110101
421100132013002021
5130324120130001
64322200445401
7501215435263
oct112036070211
927581776411
109940005001
114240967973
121b14a79861
13c25442884
146a41c6b33
153d29aba01
hex250787089

9940005001 has 16 divisors (see below), whose sum is σ = 10320887808. Its totient is φ = 9566902800.

The previous prime is 9940004989. The next prime is 9940005017. The reversal of 9940005001 is 1005000499.

It is a cyclic number.

It is not a de Polignac number, because 9940005001 - 211 = 9940002953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9940005091) 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, 873136 + ... + 884446.

It is an arithmetic number, because the mean of its divisors is an integer number (645055488).

Almost surely, 29940005001 is an apocalyptic number.

It is an amenable number.

9940005001 is a deficient number, since it is larger than the sum of its proper divisors (380882807).

9940005001 is a wasteful number, since it uses less digits than its factorization.

9940005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 9940005001 is about 99699.5737252673. The cubic root of 9940005001 is about 2150.1175346599.

The spelling of 9940005001 in words is "nine billion, nine hundred forty million, five thousand, one".

Divisors: 1 43 107 191 4601 8213 11311 20437 486373 878791 1210277 2160401 52041911 92897243 231162907 9940005001