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966143664 = 24326709331
BaseRepresentation
bin111001100101100…
…010111010110000
32111022222011221200
4321211202322300
53434313044124
6235511451200
732641041243
oct7145427260
92438864850
10966143664
114563aa042
1222b686b00
13125214b55
149245725a
1559c44bc9
hex39962eb0

966143664 has 30 divisors (see below), whose sum is σ = 2703860796. Its totient is φ = 322047840.

The previous prime is 966143663. The next prime is 966143687. The reversal of 966143664 is 466341669.

966143664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (966143663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3354522 + ... + 3354809.

Almost surely, 2966143664 is an apocalyptic number.

It is an amenable number.

966143664 is an abundant number, since it is smaller than the sum of its proper divisors (1737717132).

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

966143664 is a wasteful number, since it uses less digits than its factorization.

966143664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709345 (or 6709336 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 966143664 is about 31082.8516066335. The cubic root of 966143664 is about 988.5847423940.

The spelling of 966143664 in words is "nine hundred sixty-six million, one hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6709331 13418662 20127993 26837324 40255986 53674648 60383979 80511972 107349296 120767958 161023944 241535916 322047888 483071832 966143664