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11055891609 = 347216692
BaseRepresentation
bin10100100101111101…
…11000010010011001
31001112111121111010000
422102332320102121
5140120302012414
65025022043213
7540655346100
oct122276702231
931474544100
1011055891609
114763843004
122186719509
1310726965c9
1476c49d037
1544a92eb09
hex292fb8499

11055891609 has 45 divisors (see below), whose sum is σ = 19223532207. Its totient is φ = 6313867056.

The previous prime is 11055891607. The next prime is 11055891619. The reversal of 11055891609 is 90619855011.

The square root of 11055891609 is 105147.

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

11055891609 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 589 + 1 + 60 + 9 = 666.

11055891609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5897779209 + 5158112400 = 76797^2 + 71820^2 .

It is not a de Polignac number, because 11055891609 - 21 = 11055891607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11055891601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6623427 + ... + 6625095.

Almost surely, 211055891609 is an apocalyptic number.

11055891609 is the 105147-th square number.

11055891609 is the 52574-th centered octagonal number.

It is an amenable number.

11055891609 is a deficient number, since it is larger than the sum of its proper divisors (8167640598).

11055891609 is an frugal number, since it uses more digits than its factorization.

11055891609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 11055891609 in words is "eleven billion, fifty-five million, eight hundred ninety-one thousand, six hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 1669 3969 5007 11683 15021 35049 45063 81781 105147 135189 245343 315441 736029 946323 2208087 2785561 6624261 8356683 19498927 25070049 58496781 75210147 136492489 175490343 225630441 409477467 526471029 1228432401 1579413087 3685297203 11055891609