Base | Representation |
---|---|
bin | 11101111001110000010… |
… | …10001101000000000000 |
3 | 10122020000000110111001000 |
4 | 32330320022031000000 |
5 | 113313143440220103 |
6 | 2103555451412000 |
7 | 134141622440556 |
oct | 16747012150000 |
9 | 3566000414030 |
10 | 1027439382528 |
11 | 366809823139 |
12 | 14715b454000 |
13 | 75b6bcc9470 |
14 | 37a2a781bd6 |
15 | 1bad568daa3 |
hex | ef3828d000 |
1027439382528 has 416 divisors, whose sum is σ = 3383928826880. Its totient is φ = 305924014080.
The previous prime is 1027439382527. The next prime is 1027439382533. The reversal of 1027439382528 is 8252839347201.
1027439382528 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 39 + 3 + 82 + 528 = 666.
It is a tau number, because it is divible by the number of its divisors (416).
It is a super-3 number, since 3×10274393825283 (a number of 37 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
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 (1027439382521) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44557050 + ... + 44580102.
Almost surely, 21027439382528 is an apocalyptic number.
1027439382528 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 1027439382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691964413440).
1027439382528 is an abundant number, since it is smaller than the sum of its proper divisors (2356489444352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1027439382528 is a wasteful number, since it uses less digits than its factorization.
1027439382528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23130 (or 23102 counting only the distinct ones).
The product of its (nonzero) digits is 5806080, while the sum is 54.
The spelling of 1027439382528 in words is "one trillion, twenty-seven billion, four hundred thirty-nine million, three hundred eighty-two thousand, five hundred twenty-eight".
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