| Base | Representation |
|---|---|
| bin | 10011010101111100000… |
| … | …000111101011100000000 |
| 3 | 11201001222000022202000000 |
| 4 | 103111330000331130000 |
| 5 | 133234223213132041 |
| 6 | 2454345432000000 |
| 7 | 165014306335560 |
| oct | 23257400753400 |
| 9 | 4631860282000 |
| 10 | 1329225520896 |
| 11 | 4727a3176649 |
| 12 | 195742b30000 |
| 13 | 98464ba3980 |
| 14 | 48498bccda0 |
| 15 | 24899a68bb6 |
| hex | 1357c03d700 |
1329225520896 has 2016 divisors, whose sum is σ = 5296621059072. Its totient is φ = 323202908160.
The previous prime is 1329225520837. The next prime is 1329225520897. The reversal of 1329225520896 is 6980255229231.
It is a happy number.
1329225520896 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 2 + 2 + 552 + 0 + 89 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a super-3 number, since 3×13292255208963 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1329225520897) by changing a digit.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16014765271 + ... + 16014765353.
It is an arithmetic number, because the mean of its divisors is an integer number (2627292192).
Almost surely, 21329225520896 is an apocalyptic number.
1329225520896 is a gapful number since it is divisible by the number (16) 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 1329225520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648310529536).
1329225520896 is an abundant number, since it is smaller than the sum of its proper divisors (3967395538176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1329225520896 is an equidigital number, since it uses as much as digits as its factorization.
1329225520896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 4665600, while the sum is 54.
The spelling of 1329225520896 in words is "one trillion, three hundred twenty-nine billion, two hundred twenty-five million, five hundred twenty thousand, eight hundred ninety-six".
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