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11532826881 = 32357972
BaseRepresentation
bin10101011110110100…
…01111100100000001
31002202202001022022100
422233122033210001
5142104400430011
65144220301013
7555536260662
oct125732174401
932682038270
1011532826881
114988a86594
12229a3a1769
13111a434324
147b596d369
1547773dd56
hex2af68f901

11532826881 has 9 divisors (see below), whose sum is σ = 16658993091. Its totient is φ = 7688336472.

The previous prime is 11532826873. The next prime is 11532826897. The reversal of 11532826881 is 18862823511.

The square root of 11532826881 is 107391.

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

11532826881 is a `hidden beast` number, since 11 + 532 + 8 + 26 + 8 + 81 = 666.

11532826881 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., 865242225 + 10667584656 = 29415^2 + 103284^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11532826881 - 23 = 11532826873 is a prime.

It is a super-2 number, since 2×115328268812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11532826831) 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, 304275 + ... + 340071.

Almost surely, 211532826881 is an apocalyptic number.

11532826881 is the 107391-st square number.

11532826881 is the 53696-th centered octagonal number.

It is an amenable number.

11532826881 is a deficient number, since it is larger than the sum of its proper divisors (5126166210).

11532826881 is an frugal number, since it uses more digits than its factorization.

11532826881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71600 (or 35800 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 11532826881 in words is "eleven billion, five hundred thirty-two million, eight hundred twenty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 35797 107391 322173 1281425209 3844275627 11532826881