Base | Representation |
---|---|
bin | 111000100101011110111… |
… | …001010101110011000000 |
3 | 111202201222212022122200000 |
4 | 320211132321111303000 |
5 | 1002202211044231142 |
6 | 12134211445400000 |
7 | 550636404220650 |
oct | 70453671256300 |
9 | 14681885278600 |
10 | 3888537492672 |
11 | 126a13504a118 |
12 | 52975b409000 |
13 | 2228c2605aa1 |
14 | d62c5c16360 |
15 | 6b23a7c214c |
hex | 3895ee55cc0 |
3888537492672 has 336 divisors, whose sum is σ = 13635961178112. Its totient is φ = 1075170723840.
The previous prime is 3888537492577. The next prime is 3888537492691. The reversal of 3888537492672 is 2762947358883.
3888537492672 is a `hidden beast` number, since 3 + 8 + 88 + 53 + 7 + 492 + 6 + 7 + 2 = 666.
3888537492672 is digitally balanced in base 2, because in such base 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 (336).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 3888537492672.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798668 + ... + 3950900.
It is an arithmetic number, because the mean of its divisors is an integer number (40583217792).
Almost surely, 23888537492672 is an apocalyptic number.
3888537492672 is a gapful number since it is divisible by the number (32) 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 3888537492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817980589056).
3888537492672 is an abundant number, since it is smaller than the sum of its proper divisors (9747423685440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3888537492672 is a wasteful number, since it uses less digits than its factorization.
3888537492672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1152298 (or 1152276 counting only the distinct ones).
The product of its digits is 975421440, while the sum is 72.
The spelling of 3888537492672 in words is "three trillion, eight hundred eighty-eight billion, five hundred thirty-seven million, four hundred ninety-two thousand, six hundred seventy-two".
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