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206516081441 = 73109241107693
BaseRepresentation
bin1100000001010101010…
…0010101001100100001
3201202001110102220211002
43000111110111030201
511340421104101231
6234512220201345
720630442504665
oct3002524251441
9652043386732
10206516081441
117a645a4267a
1234035999255
13166222b0977
149dd16708a5
15558a5500cb
hex3015515321

206516081441 has 16 divisors (see below), whose sum is σ = 212144256720. Its totient is φ = 200979118080.

The previous prime is 206516081437. The next prime is 206516081459. The reversal of 206516081441 is 144180615602.

It can be written as a sum of positive squares in 8 ways, for example, as 44426100625 + 162089980816 = 210775^2 + 402604^2 .

It is not a de Polignac number, because 206516081441 - 22 = 206516081437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206516081395 and 206516081404.

It is not an unprimeable number, because it can be changed into a prime (206516081491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863791 + ... + 1971483.

It is an arithmetic number, because the mean of its divisors is an integer number (13259016045).

Almost surely, 2206516081441 is an apocalyptic number.

It is an amenable number.

206516081441 is a deficient number, since it is larger than the sum of its proper divisors (5628175279).

206516081441 is a wasteful number, since it uses less digits than its factorization.

206516081441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108116.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 206516081441 in words is "two hundred six billion, five hundred sixteen million, eighty-one thousand, four hundred forty-one".

Divisors: 1 73 109 241 7957 17593 26269 107693 1917637 7861589 11738537 25954013 856913201 1894642949 2828987417 206516081441