| Base | Representation |
|---|---|
| bin | 1001100011011111010101… |
| … | …1100100000000100000000 |
| 3 | 1101012022001022122200011000 |
| 4 | 2120313311130200010000 |
| 5 | 2334104340102144000 |
| 6 | 34202024002452000 |
| 7 | 2132661306353652 |
| oct | 230676534400400 |
| 9 | 41168038580130 |
| 10 | 10505312928000 |
| 11 | 3390307302a00 |
| 12 | 1218000064000 |
| 13 | 5b2853c0b177 |
| 14 | 284661bd06d2 |
| 15 | 1334021e2000 |
| hex | 98df5720100 |
10505312928000 has 3456 divisors, whose sum is σ = 47267276958720. Its totient is φ = 2283798528000.
The previous prime is 10505312927899. The next prime is 10505312928007. The reversal of 10505312928000 is 82921350501.
10505312928000 is a `hidden beast` number, since 1 + 0 + 505 + 3 + 129 + 28 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×105053129280002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10505312928007) by changing a digit.
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 383 ways as a sum of consecutive naturals, for example, 40876703872 + ... + 40876704128.
It is an arithmetic number, because the mean of its divisors is an integer number (13676874120).
Almost surely, 210505312928000 is an apocalyptic number.
10505312928000 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 10505312928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633638479360).
10505312928000 is an abundant number, since it is smaller than the sum of its proper divisors (36761964030720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10505312928000 is a wasteful number, since it uses less digits than its factorization.
10505312928000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 359 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
The spelling of 10505312928000 in words is "ten trillion, five hundred five billion, three hundred twelve million, nine hundred twenty-eight thousand".
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