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966000000996 = 223226833333361
BaseRepresentation
bin11100000111010100001…
…01100011111111100100
310102100102012102112000200
432003222011203333210
5111311332000012441
62015435124310500
7126535244346342
oct16035205437744
93370365375020
10966000000996
113427508a9468
12137273542430
137012a2b2634
1434a7ca88992
151a1db8b77b6
hexe0ea163fe4

966000000996 has 18 divisors (see below), whose sum is σ = 2441833335942. Its totient is φ = 322000000320.

The previous prime is 966000000991. The next prime is 966000001003. The reversal of 966000000996 is 699000000669.

It can be written as a sum of positive squares in only one way, i.e., 641783640996 + 324216360000 = 801114^2 + 569400^2 .

It is a tau number, because it is divible by the number of its divisors (18).

966000000996 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (966000000991) 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, 13416666645 + ... + 13416666716.

Almost surely, 2966000000996 is an apocalyptic number.

It is an amenable number.

966000000996 is an abundant number, since it is smaller than the sum of its proper divisors (1475833334946).

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

966000000996 is a wasteful number, since it uses less digits than its factorization.

966000000996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26833333371 (or 26833333366 counting only the distinct ones).

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

The spelling of 966000000996 in words is "nine hundred sixty-six billion, nine hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 26833333361 53666666722 80500000083 107333333444 161000000166 241500000249 322000000332 483000000498 966000000996