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9960000966 = 2322292416303
BaseRepresentation
bin10010100011010100…
…11000110111000110
3221201010111110202200
421101222120313012
5130344230012331
64324153215330
7501550416456
oct112152306706
927633443680
109960000966
114251185163
121b1b701546
13c296241c6
146a6b0dd66
153d460b5e6
hex251a98dc6

9960000966 has 24 divisors (see below), whose sum is σ = 21674246880. Its totient is φ = 3305501136.

The previous prime is 9960000949. The next prime is 9960000989. The reversal of 9960000966 is 6690000699.

9960000966 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204030 + ... + 1212273.

It is an arithmetic number, because the mean of its divisors is an integer number (903093620).

Almost surely, 29960000966 is an apocalyptic number.

9960000966 is an abundant number, since it is smaller than the sum of its proper divisors (11714245914).

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

9960000966 is a wasteful number, since it uses less digits than its factorization.

9960000966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416540 (or 2416537 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9960000966 is about 99799.8044386862. The cubic root of 9960000966 is about 2151.5583413634.

The spelling of 9960000966 in words is "nine billion, nine hundred sixty million, nine hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 2416303 4832606 7248909 14497818 21746727 43493454 553333387 1106666774 1660000161 3320000322 4980000483 9960000966