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10163335434 = 237432130873
BaseRepresentation
bin10010111011100100…
…00011000100001010
3222020022002221012220
421131302003010022
5131303303213214
64400255314510
7506566632360
oct113562030412
928208087186
1010163335434
114345a3537a
121b7781ba36
13c5c7a8165
146c5b1d630
153e73c39a9
hex25dc8310a

10163335434 has 48 divisors (see below), whose sum is σ = 23783470272. Its totient is φ = 2836257984.

The previous prime is 10163335421. The next prime is 10163335439. The reversal of 10163335434 is 43453336101.

It is a junction number, because it is equal to n+sod(n) for n = 10163335395 and 10163335404.

It is not an unprimeable number, because it can be changed into a prime (10163335439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12222 + ... + 143094.

It is an arithmetic number, because the mean of its divisors is an integer number (495488964).

Almost surely, 210163335434 is an apocalyptic number.

10163335434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10163335434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891735136).

10163335434 is an abundant number, since it is smaller than the sum of its proper divisors (13620134838).

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

10163335434 is a wasteful number, since it uses less digits than its factorization.

10163335434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130971 (or 130928 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 10163335434 in words is "ten billion, one hundred sixty-three million, three hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 1849 3698 5547 11094 12943 25886 38829 77658 130873 261746 392619 785238 916111 1832222 2748333 5496666 5627539 11255078 16882617 33765234 39392773 78785546 118178319 236356638 241984177 483968354 725952531 1451905062 1693889239 3387778478 5081667717 10163335434