| Base | Representation |
|---|---|
| bin | 10011010100011100111… |
| … | …000000110101100010000 |
| 3 | 11200220211202212120100100 |
| 4 | 103110130320012230100 |
| 5 | 133222441104121414 |
| 6 | 2453523212452400 |
| 7 | 164626615253100 |
| oct | 23243470065420 |
| 9 | 4626752776310 |
| 10 | 1327629363984 |
| 11 | 47205418a300 |
| 12 | 19537847a100 |
| 13 | 9826c2b5221 |
| 14 | 48386c19200 |
| 15 | 24804878609 |
| hex | 1351ce06b10 |
1327629363984 has 1215 divisors, whose sum is σ = 5037328943829. Its totient is φ = 325204830720.
The previous prime is 1327629363979. The next prime is 1327629364003. The reversal of 1327629363984 is 4893639267231.
The square root of 1327629363984 is 1152228.
It is a perfect power (a square), and thus also a powerful number.
1327629363984 is a `hidden beast` number, since 13 + 276 + 293 + 63 + 9 + 8 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 696176634384 + 631452729600 = 834372^2 + 794640^2 .
It is a super-2 number, since 2×13276293639842 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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 242 ways as a sum of consecutive naturals, for example, 30875101467 + ... + 30875101509.
Almost surely, 21327629363984 is an apocalyptic number.
1327629363984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
1327629363984 is the 1152228-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1327629363984
1327629363984 is an abundant number, since it is smaller than the sum of its proper divisors (3709699579845).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1327629363984 is a wasteful number, since it uses less digits than its factorization.
1327629363984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 95 counting only the distinct ones).
The product of its digits is 70543872, while the sum is 63.
The spelling of 1327629363984 in words is "one trillion, three hundred twenty-seven billion, six hundred twenty-nine million, three hundred sixty-three thousand, nine hundred eighty-four".
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