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663628968 = 23329217069
BaseRepresentation
bin100111100011100…
…010110010101000
31201020201211210200
4213203202302220
52324342111333
6145503512200
722305516222
oct4743426250
91636654720
10663628968
113106682a2
121662b8660
13a7646582
14641cb412
153d3dac13
hex278e2ca8

663628968 has 24 divisors (see below), whose sum is σ = 1797328650. Its totient is φ = 221209632.

The previous prime is 663628967. The next prime is 663629009. The reversal of 663628968 is 869826366.

663628968 is a `hidden beast` number, since 6 + 6 + 3 + 628 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 493639524 + 169989444 = 22218^2 + 13038^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (663628961) 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, 4608463 + ... + 4608606.

Almost surely, 2663628968 is an apocalyptic number.

It is an amenable number.

663628968 is an abundant number, since it is smaller than the sum of its proper divisors (1133699682).

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

663628968 is a wasteful number, since it uses less digits than its factorization.

663628968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217081 (or 9217074 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 663628968 is about 25760.9970303946. The cubic root of 663628968 is about 872.2516072471.

The spelling of 663628968 in words is "six hundred sixty-three million, six hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9217069 18434138 27651207 36868276 55302414 73736552 82953621 110604828 165907242 221209656 331814484 663628968