Base | Representation |
---|---|
bin | 11000101010000011001001… |
… | …11101000111000010000000 |
3 | 21002222111210212102002022012 |
4 | 30111001210331013002000 |
5 | 24101330321341322023 |
6 | 311152541015232052 |
7 | 14264235604052420 |
oct | 1425014475070200 |
9 | 232874725362265 |
10 | 54221360885888 |
11 | 16305171743659 |
12 | 60b8568078628 |
13 | 243408b14a711 |
14 | d56483960480 |
15 | 64064e525978 |
hex | 315064f47080 |
54221360885888 has 128 divisors (see below), whose sum is σ = 125173082160000. Its totient is φ = 22915704471552.
The previous prime is 54221360885873. The next prime is 54221360885897. The reversal of 54221360885888 is 88858806312245.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
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, 17096120 + ... + 20017992.
It is an arithmetic number, because the mean of its divisors is an integer number (977914704375).
Almost surely, 254221360885888 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 54221360885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586541080000).
54221360885888 is an abundant number, since it is smaller than the sum of its proper divisors (70951721274112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54221360885888 is a wasteful number, since it uses less digits than its factorization.
54221360885888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2922182 (or 2922170 counting only the distinct ones).
The product of its (nonzero) digits is 235929600, while the sum is 68.
The spelling of 54221360885888 in words is "fifty-four trillion, two hundred twenty-one billion, three hundred sixty million, eight hundred eighty-five thousand, eight hundred eighty-eight".
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