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132413321484 = 22351031322599
BaseRepresentation
bin111101101010001110…
…0101111000100001100
3110122210010000200100000
41323110130233010030
54132140302241414
6140455125004300
712365216443023
oct1732434570414
9418703020300
10132413321484
11511799602a4
12217b4b53690
13c642b75b02
1465a1bd58ba
15369eb6bb09
hex1ed472f10c

132413321484 has 72 divisors (see below), whose sum is σ = 350478419200. Its totient is φ = 43709218704.

The previous prime is 132413321483. The next prime is 132413321527. The reversal of 132413321484 is 484123314231.

132413321484 is a `hidden beast` number, since 1 + 3 + 24 + 133 + 21 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132413321483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561184 + ... + 761415.

Almost surely, 2132413321484 is an apocalyptic number.

It is an amenable number.

132413321484 is an abundant number, since it is smaller than the sum of its proper divisors (218065097716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132413321484 is a wasteful number, since it uses less digits than its factorization.

132413321484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322721 (or 1322707 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 132413321484 in words is "one hundred thirty-two billion, four hundred thirteen million, three hundred twenty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 927 972 1236 1854 2781 3708 5562 8343 11124 16686 25029 33372 50058 100116 1322599 2645198 3967797 5290396 7935594 11903391 15871188 23806782 35710173 47613564 71420346 107130519 136227697 142840692 214261038 272455394 321391557 408683091 428522076 544910788 642783114 817366182 1226049273 1285566228 1634732364 2452098546 3678147819 4904197092 7356295638 11034443457 14712591276 22068886914 33103330371 44137773828 66206660742 132413321484