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11931848289 = 345322292
BaseRepresentation
bin10110001110011000…
…11000111001100001
31010210112212200210000
423013030120321201
5143414023121124
65251552530213
7601453015464
oct130714307141
933715780700
1011931848289
115073243249
12238bb50969
131181cc237a
1481295b2db
1549c7ac6c9
hex2c7318e61

11931848289 has 45 divisors (see below), whose sum is σ = 18246445833. Its totient is φ = 7770398688.

The previous prime is 11931848237. The next prime is 11931848317. The reversal of 11931848289 is 98284813911.

It is a happy number.

The square root of 11931848289 is 109233.

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

11931848289 is a `hidden beast` number, since 1 + 1 + 9 + 318 + 48 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5533128225 + 6398720064 = 74385^2 + 79992^2 .

It is not a de Polignac number, because 11931848289 - 29 = 11931847777 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (995328) is a multiple of the sum of its prime factors (576).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11931848219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52104027 + ... + 52104255.

Almost surely, 211931848289 is an apocalyptic number.

11931848289 is the 109233-rd square number.

11931848289 is the 54617-th centered octagonal number.

It is an amenable number.

11931848289 is a deficient number, since it is larger than the sum of its proper divisors (6314597544).

11931848289 is an frugal number, since it uses more digits than its factorization.

11931848289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 285 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The spelling of 11931848289 in words is "eleven billion, nine hundred thirty-one million, eight hundred forty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 53 81 159 229 477 687 1431 2061 2809 4293 6183 8427 12137 18549 25281 36411 52441 75843 109233 157323 227529 327699 471969 643261 983097 1415907 1929783 2779373 4247721 5789349 8338119 17368047 25014357 52104141 75043071 147306769 225129213 441920307 1325760921 3977282763 11931848289