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11986527289 = 1123722692
BaseRepresentation
bin10110010100111001…
…11110010000111001
31010221100202200021011
423022130332100321
5144022022333124
65301224513521
7603015541462
oct131234762071
933840680234
1011986527289
1150a109a400
1223a631b8a1
1311904283c9
14819d11d69
154a24ad994
hex2ca73e439

11986527289 has 27 divisors (see below), whose sum is σ = 13591511661. Its totient is φ = 10562919840.

The previous prime is 11986527281. The next prime is 11986527299. The reversal of 11986527289 is 98272568911.

The square root of 11986527289 is 109483.

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 60140025 + 11926387264 = 7755^2 + 109208^2 .

It is not a de Polignac number, because 11986527289 - 23 = 11986527281 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11986527281) 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, 44559447 + ... + 44559715.

Almost surely, 211986527289 is an apocalyptic number.

11986527289 is the 109483-rd square number.

11986527289 is the 54742-nd centered octagonal number.

It is an amenable number.

11986527289 is a deficient number, since it is larger than the sum of its proper divisors (1604984372).

11986527289 is an frugal number, since it uses more digits than its factorization.

11986527289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 58.

The spelling of 11986527289 in words is "eleven billion, nine hundred eighty-six million, five hundred twenty-seven thousand, two hundred eighty-nine".

Divisors: 1 11 37 121 269 407 1369 2959 4477 9953 15059 32549 72361 109483 165649 368261 795971 1204313 2677357 4050871 8755681 29450927 44559581 99062209 323960197 1089684299 11986527289