Base | Representation |
---|---|
bin | 111000110110100111000… |
… | …011001000111000000000 |
3 | 111211111110112002122001000 |
4 | 320312213003020320000 |
5 | 1003002342014434140 |
6 | 12150452355412000 |
7 | 552160213061316 |
oct | 70664703107000 |
9 | 14744415078030 |
10 | 3906927889920 |
11 | 1276a11a38830 |
12 | 5312322b4000 |
13 | 224563694b53 |
14 | d714c4280b6 |
15 | 6b965093a30 |
hex | 38da70c8e00 |
3906927889920 has 1280 divisors, whose sum is σ = 16019296128000. Its totient is φ = 892610150400.
The previous prime is 3906927889871. The next prime is 3906927889927. The reversal of 3906927889920 is 299887296093.
3906927889920 is a `hidden beast` number, since 390 + 6 + 9 + 2 + 78 + 89 + 92 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3906927889927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3308151730 + ... + 3308152910.
It is an arithmetic number, because the mean of its divisors is an integer number (12515075100).
Almost surely, 23906927889920 is an apocalyptic number.
3906927889920 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 3906927889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009648064000).
3906927889920 is an abundant number, since it is smaller than the sum of its proper divisors (12112368238080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3906927889920 is a wasteful number, since it uses less digits than its factorization.
3906927889920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1472 (or 1450 counting only the distinct ones).
The product of its (nonzero) digits is 211631616, while the sum is 72.
The spelling of 3906927889920 in words is "three trillion, nine hundred six billion, nine hundred twenty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".
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