Search a number
-
+
206974115694025 = 521132254632
BaseRepresentation
bin101111000011110111101010…
…101001001100010111001001
31000010211112100222201001101121
4233003313222221030113021
5204112030442104202100
62012110332432315241
761411246350521101
oct5703675251142711
91003745328631347
10206974115694025
115aa48258561489
121b268b786a2b21
138b647630c0b14
14391785a280201
1518ddd1213e51a
hexbc3deaa4c5c9

206974115694025 has 27 divisors (see below), whose sum is σ = 258949392774709. Its totient is φ = 164107543886720.

The previous prime is 206974115693987. The next prime is 206974115694103. The reversal of 206974115694025 is 520496511479602.

The square root of 206974115694025 is 14386595.

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

It can be written as a sum of positive squares in 4 ways, for example, as 105300208804921 + 101673906889104 = 10261589^2 + 10083348^2 .

It is not a de Polignac number, because 206974115694025 - 225 = 206974082139593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8128413444 + ... + 8128438906.

Almost surely, 2206974115694025 is an apocalyptic number.

206974115694025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206974115694025 is the 14386595-th square number.

206974115694025 is the 7193298-th centered octagonal number.

It is an amenable number.

206974115694025 is a deficient number, since it is larger than the sum of its proper divisors (51975277080684).

206974115694025 is an frugal number, since it uses more digits than its factorization.

206974115694025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51162 (or 25581 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 206974115694025 in words is "two hundred six trillion, nine hundred seventy-four billion, one hundred fifteen million, six hundred ninety-four thousand, twenty-five".

Divisors: 1 5 25 113 565 2825 12769 25463 63845 127315 319225 636575 2877319 14386595 71932975 325137047 648364369 1625685235 3241821845 8128426175 16209109225 73265173697 366325868485 1831629342425 8278964627761 41394823138805 206974115694025