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20623680000 = 29335471131
BaseRepresentation
bin10011001101010001…
…000110001000000000
31222020022002111101000
4103031101012020000
5314214130230000
613250245012000
71330034246640
oct231521061000
958208074330
1020623680000
118823591040
123bb69b4000
131c38974961
14dd9074520
1580a8b5000
hex4cd446200

20623680000 has 1600 divisors, whose sum is σ = 98176573440. Its totient is φ = 4147200000.

The previous prime is 20623679981. The next prime is 20623680047. The reversal of 20623680000 is 8632602.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 665279985 + ... + 665280015.

Almost surely, 220623680000 is an apocalyptic number.

20623680000 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 20623680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088286720).

20623680000 is an abundant number, since it is smaller than the sum of its proper divisors (77552893440).

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

20623680000 is an equidigital number, since it uses as much as digits as its factorization.

20623680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20623680000 in words is "twenty billion, six hundred twenty-three million, six hundred eighty thousand".