| Base | Representation |
|---|---|
| bin | 11111001010000000111100… |
| … | …011010111111011010000000 |
| 3 | 122222011201022112221001112000 |
| 4 | 133022000330122333122000 |
| 5 | 120430030111440220000 |
| 6 | 1203233344501504000 |
| 7 | 40601630625623556 |
| oct | 3712007432773200 |
| 9 | 588151275831460 |
| 10 | 137027650320000 |
| 11 | 3a730111336200 |
| 12 | 13450a62a12000 |
| 13 | 5b5c862527bbb |
| 14 | 25ba26075bbd6 |
| 15 | 10c960c48a000 |
| hex | 7ca03c6bf680 |
137027650320000 has 960 divisors, whose sum is σ = 555485547724800. Its totient is φ = 33218760960000.
The previous prime is 137027650319977. The next prime is 137027650320017. The reversal of 137027650320000 is 23056720731.
137027650320000 is a `hidden beast` number, since 1 + 370 + 27 + 65 + 0 + 3 + 200 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×1370276503200002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 261097857 + ... + 261622143.
It is an arithmetic number, because the mean of its divisors is an integer number (578630778880).
Almost surely, 2137027650320000 is an apocalyptic number.
137027650320000 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 137027650320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277742773862400).
137027650320000 is an abundant number, since it is smaller than the sum of its proper divisors (418457897404800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137027650320000 is an equidigital number, since it uses as much as digits as its factorization.
137027650320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 524352 (or 524308 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The spelling of 137027650320000 in words is "one hundred thirty-seven trillion, twenty-seven billion, six hundred fifty million, three hundred twenty thousand".
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