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1328336383280 = 24547665353101
BaseRepresentation
bin10011010101000111000…
…001001010110100110000
311200222200001020212111012
4103111013001022310300
5133230413103231110
62454121310410052
7164653261650614
oct23250701126460
94628601225435
101328336383280
11472387293375
12195535200928
139835291153a
1448412a9d344
1524846985905
hex1354704ad30

1328336383280 has 80 divisors (see below), whose sum is σ = 3154625841024. Its totient is φ = 519941606400.

The previous prime is 1328336383273. The next prime is 1328336383301. The reversal of 1328336383280 is 823836338231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 24988730 + ... + 25041830.

Almost surely, 21328336383280 is an apocalyptic number.

1328336383280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328336383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577312920512).

1328336383280 is an abundant number, since it is smaller than the sum of its proper divisors (1826289457744).

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

1328336383280 is a wasteful number, since it uses less digits than its factorization.

1328336383280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59814 (or 59808 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 1328336383280 in words is "one trillion, three hundred twenty-eight billion, three hundred thirty-six million, three hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 6653 13306 26612 33265 53101 53224 66530 106202 106448 133060 212404 265505 266120 312691 424808 531010 532240 625382 849616 1062020 1250764 1563455 2124040 2495747 2501528 3126910 4248080 4991494 5003056 6253820 9982988 12478735 12507640 19965976 24957470 25015280 39931952 49914940 99829880 199659760 353280953 706561906 1413123812 1766404765 2826247624 3532809530 5652495248 7065619060 14131238120 16604204791 28262476240 33208409582 66416819164 83021023955 132833638328 166042047910 265667276656 332084095820 664168191640 1328336383280