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9990389408 = 253177571301
BaseRepresentation
bin10010100110111100…
…10011111010100000
3221210020200100212112
421103132103322200
5130430014430113
64331200414452
7502366623506
oct112336237240
927706610775
109990389408
11426735047a
121b29917428
13c32a03c2c
146aab80676
153d71105a8
hex253793ea0

9990389408 has 48 divisors (see below), whose sum is σ = 19771875144. Its totient is φ = 4969036800.

The previous prime is 9990389407. The next prime is 9990389459. The reversal of 9990389408 is 8049830999.

9990389408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3103381264 + 6887008144 = 55708^2 + 82988^2 .

It is not an unprimeable number, because it can be changed into a prime (9990389407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7678358 + ... + 7679658.

Almost surely, 29990389408 is an apocalyptic number.

It is an amenable number.

9990389408 is a deficient number, since it is larger than the sum of its proper divisors (9781485736).

9990389408 is a wasteful number, since it uses less digits than its factorization.

9990389408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 59.

The square root of 9990389408 is about 99951.9354890139. The cubic root of 9990389408 is about 2153.7442890527.

The spelling of 9990389408 in words is "nine billion, nine hundred ninety million, three hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 317 634 757 1268 1301 1514 2536 2602 3028 5072 5204 6056 10144 10408 12112 20816 24224 41632 239969 412417 479938 824834 959876 984857 1649668 1919752 1969714 3299336 3839504 3939428 6598672 7679008 7878856 13197344 15757712 31515424 312199669 624399338 1248798676 2497597352 4995194704 9990389408