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20630882000 = 245365315797
BaseRepresentation
bin10011001101101100…
…100100011011010000
31222020210122101122202
4103031230210123100
5314223001211000
613251103222332
71330152414011
oct231554443320
958223571582
1020630882000
118827660003
123bb92a79a8
131c3a2c6ab1
14dd9dcb008
1580b338dd5
hex4cdb246d0

20630882000 has 80 divisors (see below), whose sum is σ = 49965029712. Its totient is φ = 8239193600.

The previous prime is 20630881841. The next prime is 20630882003. The reversal of 20630882000 is 28803602.

It can be written as a sum of positive squares in 8 ways, for example, as 7117284496 + 13513597504 = 84364^2 + 116248^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20630882003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298102 + ... + 1313898.

Almost surely, 220630882000 is an apocalyptic number.

20630882000 is a gapful number since it is divisible by the number (20) 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 20630882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24982514856).

20630882000 is an abundant number, since it is smaller than the sum of its proper divisors (29334147712).

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

20630882000 is a wasteful number, since it uses less digits than its factorization.

20630882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 20630882000 in words is "twenty billion, six hundred thirty million, eight hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 653 1000 1306 2000 2612 3265 5224 6530 10448 13060 15797 16325 26120 31594 32650 52240 63188 65300 78985 81625 126376 130600 157970 163250 252752 261200 315940 326500 394925 631880 653000 789850 1263760 1306000 1579700 1974625 3159400 3949250 6318800 7898500 10315441 15797000 20630882 31594000 41261764 51577205 82523528 103154410 165047056 206308820 257886025 412617640 515772050 825235280 1031544100 1289430125 2063088200 2578860250 4126176400 5157720500 10315441000 20630882000