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132556430889 = 3215727732
BaseRepresentation
bin111101101110011111…
…0101001111000101001
3110200011002022101112100
41323130332221320221
54132433421242024
6140521240204013
712401605033431
oct1733476517051
9420132271470
10132556430889
1151242716533
1221834a69609
13c66670152c
1465b6c092c1
1536ac4d97c9
hex1edcfa9e29

132556430889 has 27 divisors (see below), whose sum is σ = 192947332773. Its totient is φ = 87694487712.

The previous prime is 132556430833. The next prime is 132556430927. The reversal of 132556430889 is 988034655231.

The square root of 132556430889 is 364083.

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

132556430889 is a `hidden beast` number, since 1 + 3 + 2 + 556 + 4 + 3 + 0 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60753869289 + 71802561600 = 246483^2 + 267960^2 .

It is a de Polignac number, because none of the positive numbers 2k-132556430889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132556434889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171482707 + ... + 171483479.

Almost surely, 2132556430889 is an apocalyptic number.

132556430889 is the 364083-rd square number.

132556430889 is the 182042-nd centered octagonal number.

It is an amenable number.

132556430889 is a deficient number, since it is larger than the sum of its proper divisors (60390901884).

132556430889 is an frugal number, since it uses more digits than its factorization.

132556430889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 132556430889 in words is "one hundred thirty-two billion, five hundred fifty-six million, four hundred thirty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 157 471 773 1413 2319 6957 24649 73947 121361 221841 364083 597529 1092249 1792587 5377761 19053677 57161031 93812053 171483093 281436159 844308477 14728492321 44185476963 132556430889