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1328105525000 = 2355431235447
BaseRepresentation
bin10011010100111001010…
…000100000111100001000
311200222001221212001110112
4103110321100200330020
5133224430003300000
62454042342333452
7164644456461452
oct23247120407410
94628057761415
101328105525000
11472278a44101
1219548ba2a288
1398316b416c7
14483d01672d2
1524831583235
hex13539420f08

1328105525000 has 96 divisors (see below), whose sum is σ = 3184935526080. Its totient is φ = 518887320000.

The previous prime is 1328105524969. The next prime is 1328105525039. The reversal of 1328105525000 is 5255018231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457277 + ... + 1692723.

It is an arithmetic number, because the mean of its divisors is an integer number (33176411730).

Almost surely, 21328105525000 is an apocalyptic number.

1328105525000 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 1328105525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592467763040).

1328105525000 is an abundant number, since it is smaller than the sum of its proper divisors (1856830001080).

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

1328105525000 is an equidigital number, since it uses as much as digits as its factorization.

1328105525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235521 (or 1235497 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 1328105525000 in words is "one trillion, three hundred twenty-eight billion, one hundred five million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 625 860 1000 1075 1250 1720 2150 2500 3125 4300 5000 5375 6250 8600 10750 12500 21500 25000 26875 43000 53750 107500 134375 215000 268750 537500 1075000 1235447 2470894 4941788 6177235 9883576 12354470 24708940 30886175 49417880 53124221 61772350 106248442 123544700 154430875 212496884 247089400 265621105 308861750 424993768 531242210 617723500 772154375 1062484420 1235447000 1328105525 1544308750 2124968840 2656211050 3088617500 3860771875 5312422100 6177235000 6640527625 7721543750 10624844200 13281055250 15443087500 26562110500 30886175000 33202638125 53124221000 66405276250 132810552500 166013190625 265621105000 332026381250 664052762500 1328105525000