Base | Representation |
---|---|
bin | 1000100011010110011… |
… | …0101010111110010000 |
3 | 112001020200100211010212 |
4 | 2020311212222332100 |
5 | 4401402110434000 |
6 | 151255313343252 |
7 | 13421006150414 |
oct | 2106546527620 |
9 | 461220324125 |
10 | 146928218000 |
11 | 5734816a943 |
12 | 24585b67b28 |
13 | 10b17054285 |
14 | 717b820d44 |
15 | 3c4e0abc35 |
hex | 22359aaf90 |
146928218000 has 80 divisors (see below), whose sum is σ = 356416295040. Its totient is φ = 58582064000.
The previous prime is 146928217981. The next prime is 146928218023. The reversal of 146928218000 is 812829641.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503891 + ... + 740109.
It is an arithmetic number, because the mean of its divisors is an integer number (4455203688).
Almost surely, 2146928218000 is an apocalyptic number.
146928218000 is a gapful number since it is divisible by the number (10) 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 146928218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178208147520).
146928218000 is an abundant number, since it is smaller than the sum of its proper divisors (209488077040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146928218000 is a wasteful number, since it uses less digits than its factorization.
146928218000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 236553 (or 236537 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 41.
The spelling of 146928218000 in words is "one hundred forty-six billion, nine hundred twenty-eight million, two hundred eighteen thousand".
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