Base | Representation |
---|---|
bin | 1000100000000111011… |
… | …1111100000000000000 |
3 | 111222000012021111012100 |
4 | 2020001313330000000 |
5 | 4343112421011320 |
6 | 151033231430400 |
7 | 13360340211600 |
oct | 2100167740000 |
9 | 458005244170 |
10 | 146060328960 |
11 | 56a4227aa77 |
12 | 24383385400 |
13 | 10a092c1670 |
14 | 70d8462c00 |
15 | 3beccc4790 |
hex | 2201dfc000 |
146060328960 has 1080 divisors, whose sum is σ = 636339334176. Its totient is φ = 30718033920.
The previous prime is 146060328959. The next prime is 146060328977. The reversal of 146060328960 is 69823060641.
146060328960 is a `hidden beast` number, since 1 + 4 + 606 + 0 + 32 + 8 + 9 + 6 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469647205 + ... + 469647515.
Almost surely, 2146060328960 is an apocalyptic number.
146060328960 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 146060328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318169667088).
146060328960 is an abundant number, since it is smaller than the sum of its proper divisors (490279005216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146060328960 is a wasteful number, since it uses less digits than its factorization.
146060328960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 377 (or 341 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 45.
The spelling of 146060328960 in words is "one hundred forty-six billion, sixty million, three hundred twenty-eight thousand, nine hundred sixty".
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