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27709930369 = 1123724092
BaseRepresentation
bin11001110011101000…
…111111101110000001
32122112011010022102101
4121303220333232001
5423222220232434
620421343550401
72000451344002
oct316350775601
978464108371
1027709930369
111082a595900
125453bbb401
1327c7ab8c04
1414ac2431a9
15ac2a69b14
hex673a3fb81

27709930369 has 27 divisors (see below), whose sum is σ = 31380184521. Its totient is φ = 24450085440.

The previous prime is 27709930357. The next prime is 27709930393. The reversal of 27709930369 is 96303990772.

The square root of 27709930369 is 166463.

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 18142743025 + 9567187344 = 134695^2 + 97812^2 .

It is not a de Polignac number, because 27709930369 - 217 = 27709799297 is a prime.

It is a super-2 number, since 2×277099303692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27709930349) 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, 67750237 + ... + 67750645.

Almost surely, 227709930369 is an apocalyptic number.

27709930369 is the 166463-rd square number.

27709930369 is the 83232-nd centered octagonal number.

It is an amenable number.

27709930369 is a deficient number, since it is larger than the sum of its proper divisors (3670254152).

27709930369 is an frugal number, since it uses more digits than its factorization.

27709930369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 55.

The spelling of 27709930369 in words is "twenty-seven billion, seven hundred nine million, nine hundred thirty thousand, three hundred sixty-nine".

Divisors: 1 11 37 121 407 409 1369 4477 4499 15059 15133 49489 165649 166463 167281 559921 1831093 1840091 6159131 6189397 20241001 67750441 68083367 229007689 748917037 2519084579 27709930369