Base | Representation |
---|---|
bin | 10011000011011000001… |
… | …111000101110001100000 |
3 | 11122011112012222022212010 |
4 | 103003120033011301200 |
5 | 132422420230024243 |
6 | 2441252205432520 |
7 | 163410423313500 |
oct | 23033017056140 |
9 | 4564465868763 |
10 | 1309297892448 |
11 | 4652a7588427 |
12 | 19190126b740 |
13 | 9660a4b8150 |
14 | 47528385a00 |
15 | 240d0346433 |
hex | 130d83c5c60 |
1309297892448 has 864 divisors, whose sum is σ = 4589699272704. Its totient is φ = 323864303616.
The previous prime is 1309297892443. The next prime is 1309297892453. The reversal of 1309297892448 is 8442987929031.
It is an interprime number because it is at equal distance from previous prime (1309297892443) and next prime (1309297892453).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1309297892443) 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 143 ways as a sum of consecutive naturals, for example, 2803635511 + ... + 2803635977.
It is an arithmetic number, because the mean of its divisors is an integer number (5312151936).
Almost surely, 21309297892448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1309297892448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294849636352).
1309297892448 is an abundant number, since it is smaller than the sum of its proper divisors (3280401380256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1309297892448 is a wasteful number, since it uses less digits than its factorization.
1309297892448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 672 (or 638 counting only the distinct ones).
The product of its (nonzero) digits is 62705664, while the sum is 66.
The spelling of 1309297892448 in words is "one trillion, three hundred nine billion, two hundred ninety-seven million, eight hundred ninety-two thousand, four hundred forty-eight".
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