Base | Representation |
---|---|
bin | 11101111100111010001… |
… | …010101100001010000000 |
3 | 21021202202001010110220211 |
4 | 131330322022230022000 |
5 | 232210311343344431 |
6 | 4213315354443504 |
7 | 301463505444241 |
oct | 35747212541200 |
9 | 7252661113824 |
10 | 2058265215616 |
11 | 7239a6067745 |
12 | 292aa4a33594 |
13 | 11c12a78640c |
14 | 71898ba4cc8 |
15 | 388182aa2b1 |
hex | 1df3a2ac280 |
2058265215616 has 128 divisors (see below), whose sum is σ = 4441397391360. Its totient is φ = 946411683840.
The previous prime is 2058265215613. The next prime is 2058265215623. The reversal of 2058265215616 is 6165125628502.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×20582652156163 (a number of 38 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2058265215616.
It is not an unprimeable number, because it can be changed into a prime (2058265215613) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62676321 + ... + 62709151.
It is an arithmetic number, because the mean of its divisors is an integer number (34698417120).
Almost surely, 22058265215616 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 2058265215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220698695680).
2058265215616 is an abundant number, since it is smaller than the sum of its proper divisors (2383132175744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2058265215616 is a wasteful number, since it uses less digits than its factorization.
2058265215616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33522 (or 33510 counting only the distinct ones).
The product of its (nonzero) digits is 1728000, while the sum is 49.
The spelling of 2058265215616 in words is "two trillion, fifty-eight billion, two hundred sixty-five million, two hundred fifteen thousand, six hundred sixteen".
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