| Base | Representation |
|---|---|
| bin | 11101111010010101000… |
| … | …00001100111100000000 |
| 3 | 10122020210110120011000000 |
| 4 | 32331022200030330000 |
| 5 | 113314311231424303 |
| 6 | 2104050204000000 |
| 7 | 134152350354660 |
| oct | 16751240147400 |
| 9 | 3566713504000 |
| 10 | 1027747139328 |
| 11 | 3669575153a8 |
| 12 | 147226530000 |
| 13 | 75bba9b1a90 |
| 14 | 37a595b41a0 |
| 15 | 1bb026d0da3 |
| hex | ef4a80cf00 |
1027747139328 has 1008 divisors, whose sum is σ = 3842102057920. Its totient is φ = 267018633216.
The previous prime is 1027747139323. The next prime is 1027747139333. The reversal of 1027747139328 is 8239317477201.
1027747139328 is a `hidden beast` number, since 1 + 0 + 277 + 47 + 1 + 3 + 9 + 328 = 666.
It is an interprime number because it is at equal distance from previous prime (1027747139323) and next prime (1027747139333).
It is a tau number, because it is divible by the number of its divisors (1008).
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 (1027747139323) 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 111 ways as a sum of consecutive naturals, for example, 1239742818 + ... + 1239743646.
Almost surely, 21027747139328 is an apocalyptic number.
1027747139328 is a gapful number since it is divisible by the number (18) 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 1027747139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921051028960).
1027747139328 is an abundant number, since it is smaller than the sum of its proper divisors (2814354918592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1027747139328 is an frugal number, since it uses more digits than its factorization.
1027747139328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 956 (or 927 counting only the distinct ones).
The product of its (nonzero) digits is 3556224, while the sum is 54.
The spelling of 1027747139328 in words is "one trillion, twenty-seven billion, seven hundred forty-seven million, one hundred thirty-nine thousand, three hundred twenty-eight".
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