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27218730361 = 29256892
BaseRepresentation
bin11001010110010111…
…001101110101111001
32121020220211202200111
4121112113031311321
5421220443332421
620300515504321
71652335251004
oct312627156571
977226752614
1027218730361
11105a8299a89
1253375b80a1
13274a0c5414
141462cdc53b
15a9488dee1
hex6565cdd79

27218730361 has 9 divisors (see below), whose sum is σ = 28194627981. Its totient is φ = 26275533984.

The previous prime is 27218730353. The next prime is 27218730373. The reversal of 27218730361 is 16303781272.

It is a happy number.

The square root of 27218730361 is 164981.

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 8608313961 + 18610416400 = 92781^2 + 136420^2 .

It is not a de Polignac number, because 27218730361 - 23 = 27218730353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27218731361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4781605 + ... + 4787293.

Almost surely, 227218730361 is an apocalyptic number.

27218730361 is the 164981-st square number.

27218730361 is the 82491-st centered octagonal number.

It is an amenable number.

27218730361 is a deficient number, since it is larger than the sum of its proper divisors (975897620).

27218730361 is an frugal number, since it uses more digits than its factorization.

27218730361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 27218730361 in words is "twenty-seven billion, two hundred eighteen million, seven hundred thirty thousand, three hundred sixty-one".

Divisors: 1 29 841 5689 164981 4784449 32364721 938576909 27218730361