Base | Representation |
---|---|
bin | 100001010110011101010000… |
… | …101111101110001000110000 |
3 | 201020100100120120101200221020 |
4 | 201112131100233232020300 |
5 | 123211141121400001340 |
6 | 1235543145205255440 |
7 | 42616122655356024 |
oct | 4126352057561060 |
9 | 636310516350836 |
10 | 146678782812720 |
11 | 42811138a98474 |
12 | 1454b3b7704580 |
13 | 63ac999601232 |
14 | 28314105b4384 |
15 | 11e56b99cc9d0 |
hex | 856750bee230 |
146678782812720 has 320 divisors, whose sum is σ = 470405408698368. Its totient is φ = 37769319936000.
The previous prime is 146678782812641. The next prime is 146678782812721. The reversal of 146678782812720 is 27218287876641.
It is not an unprimeable number, because it can be changed into a prime (146678782812721) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11440503910 + ... + 11440516730.
Almost surely, 2146678782812720 is an apocalyptic number.
146678782812720 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 146678782812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235202704349184).
146678782812720 is an abundant number, since it is smaller than the sum of its proper divisors (323726625885648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146678782812720 is a wasteful number, since it uses less digits than its factorization.
146678782812720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16132 (or 16126 counting only the distinct ones).
The product of its (nonzero) digits is 202309632, while the sum is 69.
The spelling of 146678782812720 in words is "one hundred forty-six trillion, six hundred seventy-eight billion, seven hundred eighty-two million, eight hundred twelve thousand, seven hundred twenty".
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