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1329138412048 = 24754111015933
BaseRepresentation
bin10011010101110110110…
…100101010101000010000
311201001201221102011010101
4103111312310222220100
5133234033413141143
62454333040542144
7165012201044116
oct23256664525020
94631657364111
101329138412048
11472758a8a467
12195719921954
139844cb24985
144848b3d5ab6
15248920adb4d
hex13576d2aa10

1329138412048 has 20 divisors (see below), whose sum is σ = 2575547401068. Its totient is φ = 664481018240.

The previous prime is 1329138412039. The next prime is 1329138412061. The reversal of 1329138412048 is 8402148319231.

It can be written as a sum of positive squares in 2 ways, for example, as 743099169024 + 586039243024 = 862032^2 + 765532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1329138411989 and 1329138412007.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5387311 + ... + 5628622.

Almost surely, 21329138412048 is an apocalyptic number.

It is an amenable number.

1329138412048 is a deficient number, since it is larger than the sum of its proper divisors (1246408989020).

1329138412048 is a wasteful number, since it uses less digits than its factorization.

1329138412048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023482 (or 11023476 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 1329138412048 in words is "one trillion, three hundred twenty-nine billion, one hundred thirty-eight million, four hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 16 7541 15082 30164 60328 120656 11015933 22031866 44063732 88127464 176254928 83071150753 166142301506 332284603012 664569206024 1329138412048