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9904144213 = 314116134831
BaseRepresentation
bin10010011100101010…
…10011111101010101
3221120020101122201001
421032111103331111
5130240430103323
64314440103301
7500301560005
oct111625237525
927506348631
109904144213
1142226a4157
121b04a64b31
13c1ab98082
1469d530005
153ce7763ad
hex24e553f55

9904144213 has 16 divisors (see below), whose sum is σ = 10481651712. Its totient is φ = 9343152000.

The previous prime is 9904144183. The next prime is 9904144259. The reversal of 9904144213 is 3124414099.

9904144213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9904144213 - 29 = 9904143701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9904244213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047708 + ... + 2052538.

It is an arithmetic number, because the mean of its divisors is an integer number (655103232).

Almost surely, 29904144213 is an apocalyptic number.

It is an amenable number.

9904144213 is a deficient number, since it is larger than the sum of its proper divisors (577507499).

9904144213 is a wasteful number, since it uses less digits than its factorization.

9904144213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 9904144213 is about 99519.5669855933. The cubic root of 9904144213 is about 2147.5287425427.

The spelling of 9904144213 in words is "nine billion, nine hundred four million, one hundred forty-four thousand, two hundred thirteen".

Divisors: 1 31 41 1271 1613 4831 50003 66133 149761 198071 2050123 6140201 7792403 241564493 319488523 9904144213