Base | Representation |
---|---|
bin | 1011010010001011011101… |
… | …1101101101000011100000 |
3 | 1121221002111020012021120000 |
4 | 2310202313131231003200 |
5 | 3111233410023134341 |
6 | 42215400551020000 |
7 | 2420241425166210 |
oct | 264426735550340 |
9 | 47832436167500 |
10 | 12406943568096 |
11 | 3a53834217730 |
12 | 148467036a600 |
13 | 6bcc7b735cac |
14 | 30c6dc00c240 |
15 | 167aee1d78b6 |
hex | b48b776d0e0 |
12406943568096 has 480 divisors, whose sum is σ = 48168147025152. Its totient is φ = 3033018224640.
The previous prime is 12406943568059. The next prime is 12406943568133. The reversal of 12406943568096 is 69086534960421.
12406943568096 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 69 + 4 + 3 + 568 + 0 + 9 + 6 = 666.
12406943568096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12406943568059) and next prime (12406943568133).
It is a super-4 number, since 4×124069435680964 (a number of 53 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1564575 + ... + 5221281.
Almost surely, 212406943568096 is an apocalyptic number.
12406943568096 is a gapful number since it is divisible by the number (16) 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 12406943568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084073512576).
12406943568096 is an abundant number, since it is smaller than the sum of its proper divisors (35761203457056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12406943568096 is a wasteful number, since it uses less digits than its factorization.
12406943568096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3656764 (or 3656747 counting only the distinct ones).
The product of its (nonzero) digits is 67184640, while the sum is 63.
The spelling of 12406943568096 in words is "twelve trillion, four hundred six billion, nine hundred forty-three million, five hundred sixty-eight thousand, ninety-six".
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