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11886886729 = 31235172
BaseRepresentation
bin10110001001000001…
…10111111101001001
31010200102021102010001
423010200313331021
5143321020333404
65243305123001
7600365604304
oct130440677511
933612242101
1011886886729
11504a923a33
122378a89461
1311758ac3b3
1480a9b5b3b
1549887a7a4
hex2c4837f49

11886886729 has 9 divisors (see below), whose sum is σ = 12286197351. Its totient is φ = 11500167960.

The previous prime is 11886886721. The next prime is 11886886751. The reversal of 11886886729 is 92768868811.

It is a happy number.

The square root of 11886886729 is 109027.

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

11886886729 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., 11405172025 + 481714704 = 106795^2 + 21948^2 .

It is not a de Polignac number, because 11886886729 - 23 = 11886886721 is a prime.

It is a super-2 number, since 2×118868867292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11886886721) 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 8 ways as a sum of consecutive naturals, for example, 3378079 + ... + 3381595.

It is an arithmetic number, because the mean of its divisors is an integer number (1365133039).

Almost surely, 211886886729 is an apocalyptic number.

11886886729 is the 109027-th square number.

11886886729 is the 54514-th centered octagonal number.

It is an amenable number.

11886886729 is a deficient number, since it is larger than the sum of its proper divisors (399310622).

11886886729 is an frugal number, since it uses more digits than its factorization.

11886886729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 3548 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 64.

Multiplying 11886886729 by its sum of digits (64), we get a square (760760750656 = 8722162).

The spelling of 11886886729 in words is "eleven billion, eight hundred eighty-six million, eight hundred eighty-six thousand, seven hundred twenty-nine".

Divisors: 1 31 961 3517 109027 3379837 12369289 383447959 11886886729