| Base | Representation |
|---|---|
| bin | 10100000011000100000… |
| … | …010101100101000101000 |
| 3 | 11212201000210021222101200 |
| 4 | 110003010002230220220 |
| 5 | 140032441203414133 |
| 6 | 2532521413044200 |
| 7 | 201351105452436 |
| oct | 24030402545050 |
| 9 | 4781023258350 |
| 10 | 1377678576168 |
| 11 | 4912a7705184 |
| 12 | 1a3005926660 |
| 13 | 9cbb72c588b |
| 14 | 4a973cb9d56 |
| 15 | 25c836de913 |
| hex | 140c40aca28 |
1377678576168 has 96 divisors (see below), whose sum is σ = 3786436704960. Its totient is φ = 452438542080.
The previous prime is 1377678576163. The next prime is 1377678576179. The reversal of 1377678576168 is 8616758767731.
1377678576168 is a `hidden beast` number, since 1 + 37 + 7 + 6 + 7 + 8 + 576 + 16 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 1377678576096 and 1377678576105.
It is not an unprimeable number, because it can be changed into a prime (1377678576163) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7200396 + ... + 7389252.
It is an arithmetic number, because the mean of its divisors is an integer number (39442049010).
Almost surely, 21377678576168 is an apocalyptic number.
1377678576168 is a gapful number since it is divisible by the number (18) 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 1377678576168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893218352480).
1377678576168 is an abundant number, since it is smaller than the sum of its proper divisors (2408758128792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1377678576168 is a wasteful number, since it uses less digits than its factorization.
1377678576168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190367 (or 190360 counting only the distinct ones).
The product of its digits is 497871360, while the sum is 72.
The spelling of 1377678576168 in words is "one trillion, three hundred seventy-seven billion, six hundred seventy-eight million, five hundred seventy-six thousand, one hundred sixty-eight".
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