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132359171344 = 2419247872
BaseRepresentation
bin111101101000100111…
…0001010110100010000
3110122122100010120022021
41323101032022310100
54132032421440334
6140445512221224
712363661251631
oct1732116126420
9418570116267
10132359171344
1151151335514
122179a99a814
13c6348966ca
14659893b888
15369a0223b4
hex1ed138ad10

132359171344 has 45 divisors (see below), whose sum is σ = 270709974327. Its totient is φ = 62683352352.

The previous prime is 132359171333. The next prime is 132359171381. The reversal of 132359171344 is 443171953231.

The square root of 132359171344 is 363812.

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

132359171344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132359171344.

It is an unprimeable number.

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, 27647319 + ... + 27652105.

Almost surely, 2132359171344 is an apocalyptic number.

132359171344 is the 363812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132359171344

132359171344 is an abundant number, since it is smaller than the sum of its proper divisors (138350802983).

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

132359171344 is an frugal number, since it uses more digits than its factorization.

132359171344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 4808 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 132359171344 in words is "one hundred thirty-two billion, three hundred fifty-nine million, one hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 4787 5776 9574 19148 38296 76592 90953 181906 363812 727624 1455248 1728107 3456214 6912428 13824856 22915369 27649712 45830738 91661476 183322952 366645904 435392011 870784022 1741568044 3483136088 6966272176 8272448209 16544896418 33089792836 66179585672 132359171344