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20656300729 = 101214232
BaseRepresentation
bin10011001111001101…
…100010001010111001
31222022120110210121011
4103033031202022321
5314301003110404
613253412113521
71330611442051
oct231715421271
958276423534
1020656300729
11883aa41519
1240059058a1
131c4265676c
14ddd526561
1580d6aa604
hex4cf3622b9

20656300729 has 9 divisors (see below), whose sum is σ = 20877514959. Its totient is φ = 20437410600.

The previous prime is 20656300681. The next prime is 20656300739. The reversal of 20656300729 is 92700365602.

The square root of 20656300729 is 143723.

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

It can be written as a sum of positive squares in only one way, i.e., 19846329129 + 809971600 = 140877^2 + 28460^2 .

It is not a de Polignac number, because 20656300729 - 27 = 20656300601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20656300691 and 20656300700.

It is not an unprimeable number, because it can be changed into a prime (20656300739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14515312 + ... + 14516734.

Almost surely, 220656300729 is an apocalyptic number.

20656300729 is the 143723-rd square number.

20656300729 is the 71862-nd centered octagonal number.

It is an amenable number.

20656300729 is a deficient number, since it is larger than the sum of its proper divisors (221214230).

20656300729 is an frugal number, since it uses more digits than its factorization.

20656300729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 20656300729 in words is "twenty billion, six hundred fifty-six million, three hundred thousand, seven hundred twenty-nine".

Divisors: 1 101 1423 10201 143723 2024929 14516023 204517829 20656300729