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9838391057 = 11237259393
BaseRepresentation
bin10010010100110100…
…11110111100010001
3221101122200001022222
421022122132330101
5130122112003212
64304130510425
7465542641565
oct111232367421
927348601288
109838391057
114199573900
121aa6a35415
13c0a385591
146948d56a5
153c8ad8c72
hex24a69ef11

9838391057 has 18 divisors (see below), whose sum is σ = 11114458614. Its totient is φ = 8702115840.

The previous prime is 9838391023. The next prime is 9838391063. The reversal of 9838391057 is 7501938389.

It is a happy number.

9838391057 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 3 ways, for example, as 4008915856 + 5829475201 = 63316^2 + 76351^2 .

It is not a de Polignac number, because 9838391057 - 28 = 9838390801 is a prime.

It is a super-3 number, since 3×98383910573 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9838391077) 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 17 ways as a sum of consecutive naturals, for example, 135953 + ... + 195345.

It is an arithmetic number, because the mean of its divisors is an integer number (617469923).

Almost surely, 29838391057 is an apocalyptic number.

It is an amenable number.

9838391057 is a deficient number, since it is larger than the sum of its proper divisors (1276067557).

9838391057 is a wasteful number, since it uses less digits than its factorization.

9838391057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59489 (or 59441 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The square root of 9838391057 is about 99188.6639541031. The cubic root of 9838391057 is about 2142.7657384400.

The spelling of 9838391057 in words is "nine billion, eight hundred thirty-eight million, three hundred ninety-one thousand, fifty-seven".

Divisors: 1 11 37 121 407 1369 4477 15059 59393 165649 653323 2197541 7186553 24172951 81309017 265902461 894399187 9838391057