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20454434361 = 3652972
BaseRepresentation
bin10011000011001011…
…011110011000111001
31221210111121221000000
4103003023132120321
5313342313344421
613221401303213
71322610552264
oct230313363071
957714557000
1020454434361
118746aa4309
123b6a194b09
131c0c897aca
14dc07b9cdb
157eaad3226
hex4c32de639

20454434361 has 21 divisors (see below), whose sum is σ = 30673413151. Its totient is φ = 13633715232.

The previous prime is 20454434347. The next prime is 20454434369. The reversal of 20454434361 is 16343445402.

The square root of 20454434361 is 143019.

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

20454434361 is a `hidden beast` number, since 20 + 4 + 544 + 34 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16691348025 + 3763086336 = 129195^2 + 61344^2 .

It is not a de Polignac number, because 20454434361 - 219 = 20453910073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20454434369) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3858865 + ... + 3864161.

Almost surely, 220454434361 is an apocalyptic number.

20454434361 is the 143019-th square number.

20454434361 is the 71510-th centered octagonal number.

It is an amenable number.

20454434361 is a deficient number, since it is larger than the sum of its proper divisors (10218978790).

20454434361 is an frugal number, since it uses more digits than its factorization.

20454434361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 20454434361 by its sum of digits (36), we get a square (736359636996 = 8581142).

Adding to 20454434361 its reverse (16343445402), we get a palindrome (36797879763).

The spelling of 20454434361 in words is "twenty billion, four hundred fifty-four million, four hundred thirty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 5297 15891 47673 143019 429057 1287171 3861513 28058209 84174627 252523881 757571643 2272714929 6818144787 20454434361