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214927741609 = 7210326432
BaseRepresentation
bin1100100000101010110…
…0010001001010101001
3202112202200110112022021
43020022230101022221
512010133000212414
6242423023224441
721346052442400
oct3101254211251
9675680415267
10214927741609
118317211a439
12357a2a48121
1317362bb8789
14a58c896637
1558cdc63c24
hex320ab112a9

214927741609 has 27 divisors (see below), whose sum is σ = 252862163613. Its totient is φ = 182151473112.

The previous prime is 214927741607. The next prime is 214927741643. The reversal of 214927741609 is 906147729412.

It is a happy number.

The square root of 214927741609 is 463603.

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

It is not a de Polignac number, because 214927741609 - 21 = 214927741607 is a prime.

It is a super-2 number, since 2×2149277416092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214927741601) 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, 334257442 + ... + 334258084.

It is an arithmetic number, because the mean of its divisors is an integer number (9365265319).

Almost surely, 2214927741609 is an apocalyptic number.

214927741609 is the 463603-rd square number.

214927741609 is the 231802-nd centered octagonal number.

It is an amenable number.

214927741609 is a deficient number, since it is larger than the sum of its proper divisors (37934422004).

214927741609 is an frugal number, since it uses more digits than its factorization.

214927741609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 214927741609 in words is "two hundred fourteen billion, nine hundred twenty-seven million, seven hundred forty-one thousand, six hundred nine".

Divisors: 1 7 49 103 643 721 4501 5047 10609 31507 66229 74263 413449 463603 519841 2894143 3245221 6821587 20259001 42585247 47751109 298096729 334257763 2086677103 4386280441 30703963087 214927741609