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20565980110729 = 45349732
BaseRepresentation
bin1001010110100011000111…
…11100000101111110001001
32200211002101111220010101001
410223101203330011332021
510143423111402020404
6111423514132055001
74221562105416154
oct453214374057611
980732344803331
1020565980110729
116609a8a689269
1223819a9164461
13b62495ab2841
14511582246c9b
15259e7d2267a4
hex12b463f05f89

20565980110729 has 3 divisors (see below), whose sum is σ = 20565984645703. Its totient is φ = 20565975575756.

The previous prime is 20565980110703. The next prime is 20565980110787. The reversal of 20565980110729 is 92701108956502.

The square root of 20565980110729 is 4534973.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8140721708025 + 12425258402704 = 2853195^2 + 3524948^2 .

It is not a de Polignac number, because 20565980110729 - 225 = 20565946556297 is a prime.

It is a super-3 number, since 3×205659801107293 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20565980110729.

It is not an unprimeable number, because it can be changed into a prime (20565980110799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2267487 + ... + 6802459.

Almost surely, 220565980110729 is an apocalyptic number.

20565980110729 is the 4534973-rd square number.

20565980110729 is the 2267487-th centered octagonal number.

It is an amenable number.

20565980110729 is a deficient number, since it is larger than the sum of its proper divisors (4534974).

20565980110729 is an frugal number, since it uses more digits than its factorization.

20565980110729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069946 (or 4534973 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 20565980110729 in words is "twenty trillion, five hundred sixty-five billion, nine hundred eighty million, one hundred ten thousand, seven hundred twenty-nine".

Divisors: 1 4534973 20565980110729