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20006444268 = 22321399397237
BaseRepresentation
bin10010101000011110…
…100001110011101100
31220122021122200010100
4102220132201303230
5311433122204033
613105115311100
71305530653566
oct225036416354
956567580110
1020006444268
118537130768
123a6414b490
131b6ab22c05
14d7b0c2336
157c15e0513
hex4a87a1cec

20006444268 has 36 divisors (see below), whose sum is σ = 50608121200. Its totient is φ = 6664031136.

The previous prime is 20006444243. The next prime is 20006444279. The reversal of 20006444268 is 86244460002.

It is a happy number.

20006444268 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 644 + 4 + 2 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 148255 + ... + 248982.

Almost surely, 220006444268 is an apocalyptic number.

It is an amenable number.

20006444268 is an abundant number, since it is smaller than the sum of its proper divisors (30601676932).

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

20006444268 is a wasteful number, since it uses less digits than its factorization.

20006444268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398646 (or 398641 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20006444268 in words is "twenty billion, six million, four hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1399 2798 4197 5596 8394 12591 16788 25182 50364 397237 794474 1191711 1588948 2383422 3575133 4766844 7150266 14300532 555734563 1111469126 1667203689 2222938252 3334407378 5001611067 6668814756 10003222134 20006444268