| Base | Representation |
|---|---|
| bin | 11101111011001001101… |
| … | …00000111011100000000 |
| 3 | 10122021221020012000100000 |
| 4 | 32331210310013130000 |
| 5 | 113321212233123141 |
| 6 | 2104202053200000 |
| 7 | 134166320422662 |
| oct | 16754464073400 |
| 9 | 3567836160300 |
| 10 | 1028188567296 |
| 11 | 367063706800 |
| 12 | 14732a330000 |
| 13 | 75c5b299b67 |
| 14 | 37a9c080532 |
| 15 | 1bb2b3295b6 |
| hex | ef64d07700 |
1028188567296 has 648 divisors, whose sum is σ = 3526725121920. Its totient is φ = 297975490560.
The previous prime is 1028188567283. The next prime is 1028188567297. The reversal of 1028188567296 is 6927658818201.
1028188567296 is a `hidden beast` number, since 1 + 0 + 281 + 8 + 8 + 5 + 67 + 296 = 666.
It is a tau number, because it is divible by the number of its divisors (648).
It is a super-2 number, since 2×10281885672962 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1028188567297) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173121895 + ... + 173127833.
It is an arithmetic number, because the mean of its divisors is an integer number (5442477040).
Almost surely, 21028188567296 is an apocalyptic number.
1028188567296 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 1028188567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763362560960).
1028188567296 is an abundant number, since it is smaller than the sum of its proper divisors (2498536554624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1028188567296 is an equidigital number, since it uses as much as digits as its factorization.
1028188567296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6015 (or 5978 counting only the distinct ones).
The product of its (nonzero) digits is 23224320, while the sum is 63.
The spelling of 1028188567296 in words is "one trillion, twenty-eight billion, one hundred eighty-eight million, five hundred sixty-seven thousand, two hundred ninety-six".
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