| Base | Representation |
|---|---|
| bin | 1100010110001010110010… |
| … | …00000110100011011000000 |
| 3 | 10120010111211220101110222000 |
| 4 | 12023011121000310123000 |
| 5 | 12024311130301234320 |
| 6 | 133424310203144000 |
| 7 | 5501343566300340 |
| oct | 613053100643300 |
| 9 | 116114756343860 |
| 10 | 27149981664960 |
| 11 | 8718273940100 |
| 12 | 3065a21b15000 |
| 13 | 121c30343c17b |
| 14 | 69c0cd630d20 |
| 15 | 321377741c90 |
| hex | 18b1590346c0 |
27149981664960 has 1344 divisors, whose sum is σ = 124199798661120. Its totient is φ = 5459523379200.
The previous prime is 27149981664931. The next prime is 27149981665007. The reversal of 27149981664960 is 6946618994172.
27149981664960 is a `hidden beast` number, since 2 + 7 + 1 + 49 + 98 + 1 + 6 + 6 + 496 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226800642 + ... + 226920318.
It is an arithmetic number, because the mean of its divisors is an integer number (92410564480).
Almost surely, 227149981664960 is an apocalyptic number.
27149981664960 is a gapful number since it is divisible by the number (20) 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 27149981664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62099899330560).
27149981664960 is an abundant number, since it is smaller than the sum of its proper divisors (97049816996160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27149981664960 is a wasteful number, since it uses less digits than its factorization.
27149981664960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119763 (or 119736 counting only the distinct ones).
The product of its (nonzero) digits is 282175488, while the sum is 72.
The spelling of 27149981664960 in words is "twenty-seven trillion, one hundred forty-nine billion, nine hundred eighty-one million, six hundred sixty-four thousand, nine hundred sixty".
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