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1009104936 = 233710095953
BaseRepresentation
bin111100001001011…
…011100000101000
32121022210211201220
4330021123200220
54031312324221
6244044342040
734002151620
oct7411334050
92538724656
101009104936
11478682524
12241b44920
131310a7518
149803b880
155d8ce0c6
hex3c25b828

1009104936 has 64 divisors (see below), whose sum is σ = 2886499200. Its totient is φ = 287981568.

The previous prime is 1009104923. The next prime is 1009104973. The reversal of 1009104936 is 6394019001.

It is a junction number, because it is equal to n+sod(n) for n = 1009104897 and 1009104906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166536 + ... + 172488.

It is an arithmetic number, because the mean of its divisors is an integer number (45101550).

Almost surely, 21009104936 is an apocalyptic number.

It is an amenable number.

1009104936 is an abundant number, since it is smaller than the sum of its proper divisors (1877394264).

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

1009104936 is a wasteful number, since it uses less digits than its factorization.

1009104936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1009104936 is about 31766.4120731316. The cubic root of 1009104936 is about 1003.0258138827.

The spelling of 1009104936 in words is "one billion, nine million, one hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1009 2018 3027 4036 5953 6054 7063 8072 11906 12108 14126 17859 21189 23812 24216 28252 35718 41671 42378 47624 56504 71436 83342 84756 125013 142872 166684 169512 250026 333368 500052 1000104 6006577 12013154 18019731 24026308 36039462 42046039 48052616 72078924 84092078 126138117 144157848 168184156 252276234 336368312 504552468 1009104936