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20628096000 = 21035353719
BaseRepresentation
bin10011001101100001…
…111100010000000000
31222020121101211222120
4103031201330100000
5314221243033000
613250523404240
71330116631401
oct231541742000
958217354876
1020628096000
118826027926
123bb8383680
131c3985c985
14dd98a39a8
1580ae886a0
hex4cd87c400

20628096000 has 176 divisors, whose sum is σ = 68618060160. Its totient is φ = 5500723200.

The previous prime is 20628095993. The next prime is 20628096001. The reversal of 20628096000 is 69082602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628096001) 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 15 ways as a sum of consecutive naturals, for example, 357141 + ... + 410859.

Almost surely, 220628096000 is an apocalyptic number.

20628096000 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 20628096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34309030080).

20628096000 is an abundant number, since it is smaller than the sum of its proper divisors (47989964160).

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

20628096000 is an equidigital number, since it uses as much as digits as its factorization.

20628096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53757 (or 53729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 20628096000 in words is "twenty billion, six hundred twenty-eight million, ninety-six thousand".