Base | Representation |
---|---|
bin | 1000100000010101000… |
… | …1110100110110101010 |
3 | 111222011011202101112100 |
4 | 2020011101310312222 |
5 | 4343222031301312 |
6 | 151043031554230 |
7 | 13361632543665 |
oct | 2100521646652 |
9 | 458134671470 |
10 | 146117447082 |
11 | 56a71542732 |
12 | 2439a52b976 |
13 | 10a1809c979 |
14 | 7101c906dc |
15 | 3c02d085dc |
hex | 2205474daa |
146117447082 has 96 divisors (see below), whose sum is σ = 347348224080. Its totient is φ = 44186204160.
The previous prime is 146117447071. The next prime is 146117447083. The reversal of 146117447082 is 280744711641.
146117447082 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 174 + 470 + 8 + 2 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 10436461281 + 135680985801 = 102159^2 + 368349^2 .
It is a super-2 number, since 2×1461174470822 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (146117447083) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5426332 + ... + 5453192.
Almost surely, 2146117447082 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146117447082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173674112040).
146117447082 is an abundant number, since it is smaller than the sum of its proper divisors (201230776998).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146117447082 is a wasteful number, since it uses less digits than its factorization.
146117447082 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27528 (or 27525 counting only the distinct ones).
The product of its (nonzero) digits is 301056, while the sum is 45.
The spelling of 146117447082 in words is "one hundred forty-six billion, one hundred seventeen million, four hundred forty-seven thousand, eighty-two".
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