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20678366592 = 27321311291223
BaseRepresentation
bin10011010000100001…
…101101010110000000
31222101002222212021100
4103100201231112000
5314322130212332
613255521054400
71331300134032
oct232041552600
958332885240
1020678366592
118851442974
124011187400
131c470b12a0
14100242bc52
158105b867c
hex4d086d580

20678366592 has 192 divisors, whose sum is σ = 64190599200. Its totient is φ = 6351740928.

The previous prime is 20678366563. The next prime is 20678366593. The reversal of 20678366592 is 29566387602.

20678366592 is a `hidden beast` number, since 206 + 78 + 366 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20678366593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16907293 + ... + 16908515.

Almost surely, 220678366592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20678366592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095299600).

20678366592 is an abundant number, since it is smaller than the sum of its proper divisors (43512232608).

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

20678366592 is a wasteful number, since it uses less digits than its factorization.

20678366592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 20678366592 in words is "twenty billion, six hundred seventy-eight million, three hundred sixty-six thousand, five hundred ninety-two".