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276409908009 = 32173210132
BaseRepresentation
bin1000000010110110101…
…00000111101100101001
3222102110111000012010100
410001123110013230221
514012041414024014
6330551515340013
725653460311054
oct4013324075451
9872414005110
10276409908009
11a7252207004
12456a1151609
13200b07328b1
14d542129a9b
1572cb68c009
hex405b507b29

276409908009 has 27 divisors (see below), whose sum is σ = 401976768037. Its totient is φ = 183027251616.

The previous prime is 276409907989. The next prime is 276409908013. The reversal of 276409908009 is 900809904672.

The square root of 276409908009 is 525747.

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

276409908009 is a `hidden beast` number, since 2 + 76 + 409 + 90 + 80 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18386546409 + 258023361600 = 135597^2 + 507960^2 .

It is not a de Polignac number, because 276409908009 - 213 = 276409899817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (276409908029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272862187 + ... + 272863199.

Almost surely, 2276409908009 is an apocalyptic number.

276409908009 is the 525747-th square number.

276409908009 is the 262874-th centered octagonal number.

It is an amenable number.

276409908009 is a deficient number, since it is larger than the sum of its proper divisors (125566860028).

276409908009 is an frugal number, since it uses more digits than its factorization.

276409908009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 276409908009 in words is "two hundred seventy-six billion, four hundred nine million, nine hundred eight thousand, nine".

Divisors: 1 3 9 173 519 1013 1557 3039 9117 29929 89787 175249 269361 525747 1026169 1577241 3078507 9235521 30318077 90954231 177527237 272862693 532581711 1597745133 30712212001 92136636003 276409908009