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206731174329 = 3231248892
BaseRepresentation
bin1100000010001000100…
…0110110000110111001
3201202121110011202210100
43000202020312012321
511341341140034304
6234545422310013
720635663662651
oct3004210660671
9652543152710
10206731174329
117a7463a4099
1234095a28309
1316657a20974
14a012061361
15559e38b439
hex30222361b9

206731174329 has 27 divisors (see below), whose sum is σ = 308618186799. Its totient is φ = 133347670560.

The previous prime is 206731174303. The next prime is 206731174339. The reversal of 206731174329 is 923471137602.

The square root of 206731174329 is 454677.

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

206731174329 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 311 + 7 + 4 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144610596729 + 62120577600 = 380277^2 + 249240^2 .

It is not a de Polignac number, because 206731174329 - 25 = 206731174297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206731174339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42282517 + ... + 42287405.

Almost surely, 2206731174329 is an apocalyptic number.

206731174329 is the 454677-th square number.

206731174329 is the 227339-th centered octagonal number.

It is an amenable number.

206731174329 is a deficient number, since it is larger than the sum of its proper divisors (101887012470).

206731174329 is an frugal number, since it uses more digits than its factorization.

206731174329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 206731174329 in words is "two hundred six billion, seven hundred thirty-one million, one hundred seventy-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 31 93 279 961 2883 4889 8649 14667 44001 151559 454677 1364031 4698329 14094987 23902321 42284961 71706963 215120889 740971951 2222915853 6668747559 22970130481 68910391443 206731174329