| Base | Representation |
|---|---|
| bin | 1110000101110110… |
| … | …1100111001100000 |
| 3 | 100202121202000120200 |
| 4 | 3201131230321200 |
| 5 | 30221330102210 |
| 6 | 1423203305200 |
| 7 | 162511035222 |
| oct | 34135547140 |
| 9 | 10677660520 |
| 10 | 3782659680 |
| 11 | 1671238228 |
| 12 | 89697b200 |
| 13 | 4838a5787 |
| 14 | 27c53a412 |
| 15 | 1721430c0 |
| hex | e176ce60 |
3782659680 has 144 divisors (see below), whose sum is σ = 13324881024. Its totient is φ = 976158720.
The previous prime is 3782659589. The next prime is 3782659697. The reversal of 3782659680 is 869562873.
It is a happy number.
3782659680 is a `hidden beast` number, since 378 + 265 + 9 + 6 + 8 + 0 = 666.
3782659680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272 + ... + 87008.
It is an arithmetic number, because the mean of its divisors is an integer number (92533896).
Almost surely, 23782659680 is an apocalyptic number.
3782659680 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 3782659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662440512).
3782659680 is an abundant number, since it is smaller than the sum of its proper divisors (9542221344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3782659680 is a wasteful number, since it uses less digits than its factorization.
3782659680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84789 (or 84778 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The square root of 3782659680 is about 61503.3306415189. The cubic root of 3782659680 is about 1558.1134986743.
The spelling of 3782659680 in words is "three billion, seven hundred eighty-two million, six hundred fifty-nine thousand, six hundred eighty".
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