| Base | Representation |
|---|---|
| bin | 1011000001001010010… |
| … | …00000010001010100000 |
| 3 | 1100012011220000212110000 |
| 4 | 11200211020002022200 |
| 5 | 22200312434010211 |
| 6 | 445530042540000 |
| 7 | 36231364530600 |
| oct | 5404510021240 |
| 9 | 1305156025400 |
| 10 | 378579985056 |
| 11 | 136611594109 |
| 12 | 61455807600 |
| 13 | 299139c7aa0 |
| 14 | 14475478c00 |
| 15 | 9cab182656 |
| hex | 58252022a0 |
378579985056 has 720 divisors, whose sum is σ = 1432728762696. Its totient is φ = 97131073536.
The previous prime is 378579985051. The next prime is 378579985061. The reversal of 378579985056 is 650589975873.
378579985056 is a `hidden beast` number, since 37 + 85 + 7 + 9 + 9 + 8 + 505 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (378579985051) and next prime (378579985061).
It can be written as a sum of positive squares in 4 ways, for example, as 317216768400 + 61363216656 = 563220^2 + 247716^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (378579985051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61087750 + ... + 61093946.
Almost surely, 2378579985056 is an apocalyptic number.
378579985056 is a gapful number since it is divisible by the number (36) 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 378579985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716364381348).
378579985056 is an abundant number, since it is smaller than the sum of its proper divisors (1054148777640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378579985056 is a wasteful number, since it uses less digits than its factorization.
378579985056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6283 (or 6259 counting only the distinct ones).
The product of its (nonzero) digits is 571536000, while the sum is 72.
The spelling of 378579985056 in words is "three hundred seventy-eight billion, five hundred seventy-nine million, nine hundred eighty-five thousand, fifty-six".
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