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4099280829904 = 241329679588997
BaseRepresentation
bin111011101001110000001…
…011010111110111010000
3112111212221221002102021101
4323221300023113313100
51014130311343024104
612415103354434144
7602110000065601
oct73516013276720
915455857072241
104099280829904
11134054a184617
12562574a32954
13239739616330
14102598a75da8
1571971ed75a4
hex3ba702d7dd0

4099280829904 has 40 divisors (see below), whose sum is σ = 8848248753960. Its totient is φ = 1826735221248.

The previous prime is 4099280829901. The next prime is 4099280829929.

4099280829904 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 120931453504 + 3978349376400 = 347752^2 + 1994580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099280829901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339788467 + ... + 339800530.

It is an arithmetic number, because the mean of its divisors is an integer number (221206218849).

Almost surely, 24099280829904 is an apocalyptic number.

It is an amenable number.

4099280829904 is an abundant number, since it is smaller than the sum of its proper divisors (4748967924056).

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

4099280829904 is a wasteful number, since it uses less digits than its factorization.

4099280829904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679589047 (or 679589041 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

The spelling of 4099280829904 in words is "four trillion, ninety-nine billion, two hundred eighty million, eight hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 679588997 1359177994 2718355988 5436711976 8834656961 10873423952 17669313922 19708080913 35338627844 39416161826 70677255688 78832323652 141354511376 157664647304 256205051869 315329294608 512410103738 1024820207476 2049640414952 4099280829904