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20050566681600 = 21033527213231113
BaseRepresentation
bin1001000111100011000101…
…11001111001010000000000
32121222211000110121002022000
410203301202321321100000
510112002030032302400
6110351034141344000
74136414506514400
oct443614271712000
977884013532260
1020050566681600
1164304411a1394
1222b9b26268000
13b259b6584b00
144d4649d40800
1524b864366600
hex123c62e79400

20050566681600 has 4752 divisors, whose sum is σ = 96587361584640. Its totient is φ = 4057753190400.

The previous prime is 20050566681539. The next prime is 20050566681637. The reversal of 20050566681600 is 618666505002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 177438643144 + ... + 177438643256.

Almost surely, 220050566681600 is an apocalyptic number.

20050566681600 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 20050566681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48293680792320).

20050566681600 is an abundant number, since it is smaller than the sum of its proper divisors (76536794903040).

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

20050566681600 is a wasteful number, since it uses less digits than its factorization.

20050566681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20050566681600 in words is "twenty trillion, fifty billion, five hundred sixty-six million, six hundred eighty-one thousand, six hundred".