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966680008 = 23756330661
BaseRepresentation
bin111001100111100…
…101110111001000
32111100222102200021
4321213211313020
53434432230013
6235531150224
732645434030
oct7147456710
92440872607
10966680008
11456735aa8
1222b8a5374
13125372008
14925568c0
1559ceda8d
hex399e5dc8

966680008 has 32 divisors (see below), whose sum is σ = 2075204160. Its totient is φ = 413542080.

The previous prime is 966680003. The next prime is 966680023. The reversal of 966680008 is 800086669.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (966680003) 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, 16198 + ... + 46858.

It is an arithmetic number, because the mean of its divisors is an integer number (64850130).

Almost surely, 2966680008 is an apocalyptic number.

It is an amenable number.

966680008 is an abundant number, since it is smaller than the sum of its proper divisors (1108524152).

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

966680008 is a wasteful number, since it uses less digits than its factorization.

966680008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31237 (or 31233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 966680008 is about 31091.4780607163. The cubic root of 966680008 is about 988.7676425256.

The spelling of 966680008 in words is "nine hundred sixty-six million, six hundred eighty thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 563 1126 2252 3941 4504 7882 15764 30661 31528 61322 122644 214627 245288 429254 858508 1717016 17262143 34524286 69048572 120835001 138097144 241670002 483340004 966680008