Search a number
-
+
20636679168 = 2103271731607
BaseRepresentation
bin10011001110000010…
…101011110000000000
31222021012112220212200
4103032002223300000
5314230442213133
613251431353200
71330252610250
oct231602536000
958235486780
1020636679168
11882a95a556
123bbb222800
131c3b576681
14ddaa99960
1580bad1913
hex4ce0abc00

20636679168 has 528 divisors, whose sum is σ = 74555080704. Its totient is φ = 5361500160.

The previous prime is 20636679149. The next prime is 20636679191. The reversal of 20636679168 is 86197663602.

20636679168 is a `hidden beast` number, since 206 + 366 + 79 + 1 + 6 + 8 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33997521 + ... + 33998127.

Almost surely, 220636679168 is an apocalyptic number.

20636679168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20636679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37277540352).

20636679168 is an abundant number, since it is smaller than the sum of its proper divisors (53918401536).

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

20636679168 is a wasteful number, since it uses less digits than its factorization.

20636679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20636679168 in words is "twenty billion, six hundred thirty-six million, six hundred seventy-nine thousand, one hundred sixty-eight".