Base | Representation |
---|---|
bin | 11110101001010110101… |
… | …01001000100010100000 |
3 | 10201122221221212220101202 |
4 | 33110223111020202200 |
5 | 114223012422312213 |
6 | 2123423322420332 |
7 | 136035112606415 |
oct | 17245325104240 |
9 | 3648857786352 |
10 | 1052993947808 |
11 | 3766326a5280 |
12 | 1500b16616a8 |
13 | 783b23b10ca |
14 | 38d7264610c |
15 | 1c5cdda6b58 |
hex | f52b5488a0 |
1052993947808 has 96 divisors (see below), whose sum is σ = 2330108182080. Its totient is φ = 464325621760.
The previous prime is 1052993947807. The next prime is 1052993947847. The reversal of 1052993947808 is 8087493992501.
It is a super-2 number, since 2×10529939478082 (a number of 25 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1052993947801) 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, 1343291 + ... + 1977477.
It is an arithmetic number, because the mean of its divisors is an integer number (24271960230).
Almost surely, 21052993947808 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 1052993947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165054091040).
1052993947808 is an abundant number, since it is smaller than the sum of its proper divisors (1277114234272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052993947808 is a wasteful number, since it uses less digits than its factorization.
1052993947808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 634350 (or 634342 counting only the distinct ones).
The product of its (nonzero) digits is 39191040, while the sum is 65.
The spelling of 1052993947808 in words is "one trillion, fifty-two billion, nine hundred ninety-three million, nine hundred forty-seven thousand, eight hundred eight".
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