| Base | Representation |
|---|---|
| bin | 1110110100101010… |
| … | …0000110110000000 |
| 3 | 101021022002220201200 |
| 4 | 3231022200312000 |
| 5 | 31122103044120 |
| 6 | 1454454501200 |
| 7 | 200413366164 |
| oct | 35512406600 |
| 9 | 11238086650 |
| 10 | 3978956160 |
| 11 | 1762020723 |
| 12 | 930664800 |
| 13 | 4b546413a |
| 14 | 29a636ca4 |
| 15 | 1844b9e90 |
| hex | ed2a0d80 |
3978956160 has 192 divisors, whose sum is σ = 13789975680. Its totient is φ = 1057185792.
The previous prime is 3978956147. The next prime is 3978956161. The reversal of 3978956160 is 616598793.
3978956160 is a `hidden beast` number, since 3 + 9 + 78 + 9 + 561 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 3978956097 and 3978956106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3978956161) 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, 1801777 + ... + 1803983.
It is an arithmetic number, because the mean of its divisors is an integer number (71822790).
Almost surely, 23978956160 is an apocalyptic number.
3978956160 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 3978956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894987840).
3978956160 is an abundant number, since it is smaller than the sum of its proper divisors (9811019520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3978956160 is a wasteful number, since it uses less digits than its factorization.
3978956160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2545 (or 2530 counting only the distinct ones).
The product of its (nonzero) digits is 2449440, while the sum is 54.
The square root of 3978956160 is about 63078.9676516666. The cubic root of 3978956160 is about 1584.6124047692.
The spelling of 3978956160 in words is "three billion, nine hundred seventy-eight million, nine hundred fifty-six thousand, one hundred sixty".
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