Base | Representation |
---|---|
bin | 11110100101000011001… |
… | …01110010010110000000 |
3 | 10201102222220112111220011 |
4 | 33102201211302112000 |
5 | 114203244330320121 |
6 | 2122402132154304 |
7 | 135623622430120 |
oct | 17224145622600 |
9 | 3642886474804 |
10 | 1050683057536 |
11 | 375657216202 |
12 | 14b767768994 |
13 | 781046c5108 |
14 | 38bd3780c80 |
15 | 1c4e60837e1 |
hex | f4a1972580 |
1050683057536 has 128 divisors (see below), whose sum is σ = 2476829214720. Its totient is φ = 434446848000.
The previous prime is 1050683057531. The next prime is 1050683057591. The reversal of 1050683057536 is 6357503860501.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×10506830575362 (a number of 25 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 1050683057536.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1050683057531) 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 15 ways as a sum of consecutive naturals, for example, 9136716 + ... + 9250996.
It is an arithmetic number, because the mean of its divisors is an integer number (19350228240).
Almost surely, 21050683057536 is an apocalyptic number.
1050683057536 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 1050683057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238414607360).
1050683057536 is an abundant number, since it is smaller than the sum of its proper divisors (1426146157184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1050683057536 is a wasteful number, since it uses less digits than its factorization.
1050683057536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114664 (or 114652 counting only the distinct ones).
The product of its (nonzero) digits is 2268000, while the sum is 49.
The spelling of 1050683057536 in words is "one trillion, fifty billion, six hundred eighty-three million, fifty-seven thousand, five hundred thirty-six".
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