| Base | Representation |
|---|---|
| bin | 10001101011011001001111… |
| … | …11000100010010010000000 |
| 3 | 12002122100200001001111110000 |
| 4 | 20311230213320202102000 |
| 5 | 20043404302020044000 |
| 6 | 214402354450240000 |
| 7 | 11121404215020000 |
| oct | 1065544770422200 |
| 9 | 162570601044400 |
| 10 | 38874418128000 |
| 11 | 11428603641004 |
| 12 | 443a157b86000 |
| 13 | 188cac3866730 |
| 14 | 985763680000 |
| 15 | 47632d45c000 |
| hex | 235b27e22480 |
38874418128000 has 4800 divisors, whose sum is σ = 187430620136760. Its totient is φ = 7937491968000.
The previous prime is 38874418127999. The next prime is 38874418128043. The reversal of 38874418128000 is 82181447883.
38874418128000 is a `hidden beast` number, since 3 + 88 + 74 + 418 + 1 + 2 + 80 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5274959505984 + 33599458622016 = 2296728^2 + 5796504^2 .
It is a tau number, because it is divible by the number of its divisors (4800).
It is a super-2 number, since 2×388744181280002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1254013487985 + ... + 1254013488015.
Almost surely, 238874418128000 is an apocalyptic number.
38874418128000 is a gapful number since it is divisible by the number (30) 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 38874418128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93715310068380).
38874418128000 is an abundant number, since it is smaller than the sum of its proper divisors (148556202008760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38874418128000 is an frugal number, since it uses more digits than its factorization.
38874418128000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 2752512, while the sum is 54.
The spelling of 38874418128000 in words is "thirty-eight trillion, eight hundred seventy-four billion, four hundred eighteen million, one hundred twenty-eight thousand".
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