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132826416676 = 221738910334861
BaseRepresentation
bin111101110110100010…
…0100100011000100100
3110200211220100002101221
41323231010210120210
54134012030313201
6141004123030124
712411363625132
oct1735504443044
9420756302357
10132826416676
115137105a888
12218ab36b344
13c6aa620a35
146600a08752
1536c606a4a1
hex1eed124624

132826416676 has 48 divisors (see below), whose sum is σ = 247041915120. Its totient is φ = 62272696320.

The previous prime is 132826416643. The next prime is 132826416707. The reversal of 132826416676 is 676614628231.

It can be written as a sum of positive squares in 8 ways, for example, as 37083204900 + 95743211776 = 192570^2 + 309424^2 .

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 15 ways as a sum of consecutive naturals, for example, 27322486 + ... + 27327346.

It is an arithmetic number, because the mean of its divisors is an integer number (5146706565).

Almost surely, 2132826416676 is an apocalyptic number.

It is an amenable number.

132826416676 is a deficient number, since it is larger than the sum of its proper divisors (114215498444).

132826416676 is a wasteful number, since it uses less digits than its factorization.

132826416676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6302 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 132826416676 in words is "one hundred thirty-two billion, eight hundred twenty-six million, four hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 4 17 34 68 389 778 1033 1556 2066 4132 4861 6613 9722 13226 17561 19444 26452 35122 70244 82637 165274 330548 401837 803674 1607348 1890929 3781858 5021413 6831229 7563716 10042826 13662458 20085652 27324916 32145793 64291586 85364021 128583172 170728042 341456084 1953329657 3906659314 7813318628 33206604169 66413208338 132826416676