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1329345508992 = 27326991282637
BaseRepresentation
bin10011010110000011001…
…010101011011010000000
311201002021101002202201120
4103112003022223122000
5133234444422241432
62454405355432240
7165020264250234
oct23260312533200
94632241082646
101329345508992
1147285497a466
12195777155680
13984839c5347
14484aab045c4
15248a536ac2c
hex135832ab680

1329345508992 has 64 divisors (see below), whose sum is σ = 3532385052000. Its totient is φ = 442950646784.

The previous prime is 1329345508987. The next prime is 1329345509003. The reversal of 1329345508992 is 2998055439231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 395098 + ... + 1677734.

Almost surely, 21329345508992 is an apocalyptic number.

1329345508992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1329345508992 is an abundant number, since it is smaller than the sum of its proper divisors (2203039543008).

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

1329345508992 is a wasteful number, since it uses less digits than its factorization.

1329345508992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285353 (or 1285341 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 1329345508992 in words is "one trillion, three hundred twenty-nine billion, three hundred forty-five million, five hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2699 5398 8097 10796 16194 21592 32388 43184 64776 86368 129552 172736 259104 345472 518208 1036416 1282637 2565274 3847911 5130548 7695822 10261096 15391644 20522192 30783288 41044384 61566576 82088768 123133152 164177536 246266304 492532608 3461837263 6923674526 10385511789 13847349052 20771023578 27694698104 41542047156 55389396208 83084094312 110778792416 166168188624 221557584832 332336377248 443115169664 664672754496 1329345508992