Base | Representation |
---|---|
bin | 11110011111011101101… |
… | …01001010010110110000 |
3 | 10201011020220012220021002 |
4 | 33033232311022112300 |
5 | 114131124043411014 |
6 | 2121144355221132 |
7 | 135456404531126 |
oct | 17175665122660 |
9 | 3634226186232 |
10 | 1047683966384 |
11 | 374358316680 |
12 | 14b06b2a77a8 |
13 | 77a4726b473 |
14 | 389cb333916 |
15 | 1c3bcb1ddde |
hex | f3eed4a5b0 |
1047683966384 has 80 divisors (see below), whose sum is σ = 2230394745600. Its totient is φ = 472788391680.
The previous prime is 1047683966369. The next prime is 1047683966437. The reversal of 1047683966384 is 4836693867401.
It is a super-3 number, since 3×10476839663843 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 1047683966384.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59440997 + ... + 59458619.
It is an arithmetic number, because the mean of its divisors is an integer number (27879934320).
Almost surely, 21047683966384 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 1047683966384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115197372800).
1047683966384 is an abundant number, since it is smaller than the sum of its proper divisors (1182710779216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1047683966384 is a wasteful number, since it uses less digits than its factorization.
1047683966384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20058 (or 20052 counting only the distinct ones).
The product of its (nonzero) digits is 125411328, while the sum is 65.
The spelling of 1047683966384 in words is "one trillion, forty-seven billion, six hundred eighty-three million, nine hundred sixty-six thousand, three hundred eighty-four".
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