Base | Representation |
---|---|
bin | 11110101110000101011… |
… | …10110111010110100000 |
3 | 10201220111222112121100020 |
4 | 33113002232313112200 |
5 | 114243213204142033 |
6 | 2124523341553440 |
7 | 136155055261266 |
oct | 17270256672640 |
9 | 3656458477306 |
10 | 1055534052768 |
11 | 377716500778 |
12 | 1506a0275880 |
13 | 786c8712ab0 |
14 | 39133b36436 |
15 | 1c6cbda56b3 |
hex | f5c2bb75a0 |
1055534052768 has 96 divisors (see below), whose sum is σ = 2985023809152. Its totient is φ = 324658867200.
The previous prime is 1055534052767. The next prime is 1055534052773. The reversal of 1055534052768 is 8672504355501.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10555340527682 (a number of 25 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (51) 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 1055534052768.
It is not an unprimeable number, because it can be changed into a prime (1055534052761) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3227338 + ... + 3539318.
It is an arithmetic number, because the mean of its divisors is an integer number (31093998012).
Almost surely, 21055534052768 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 1055534052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492511904576).
1055534052768 is an abundant number, since it is smaller than the sum of its proper divisors (1929489756384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055534052768 is a wasteful number, since it uses less digits than its factorization.
1055534052768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 314718 (or 314710 counting only the distinct ones).
The product of its (nonzero) digits is 5040000, while the sum is 51.
The spelling of 1055534052768 in words is "one trillion, fifty-five billion, five hundred thirty-four million, fifty-two thousand, seven hundred sixty-eight".
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