Base | Representation |
---|---|
bin | 10111111101001001… |
… | …01100101000100000 |
3 | 1020012022011211200000 |
4 | 23332210230220200 |
5 | 202314401424311 |
6 | 5524103100000 |
7 | 633464263641 |
oct | 137644545040 |
9 | 36168154600 |
10 | 12860967456 |
11 | 54aa754227 |
12 | 25ab141600 |
13 | 129c642b1c |
14 | 8a00d76c8 |
15 | 50413c056 |
hex | 2fe92ca20 |
12860967456 has 144 divisors (see below), whose sum is σ = 39924612000. Its totient is φ = 4061311488.
The previous prime is 12860967451. The next prime is 12860967461. The reversal of 12860967456 is 65476906821.
12860967456 is a `hidden beast` number, since 1 + 28 + 609 + 6 + 7 + 4 + 5 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (12860967451) and next prime (12860967461).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×128609674562 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (12860967451) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104220 + ... + 191268.
It is an arithmetic number, because the mean of its divisors is an integer number (277254250).
Almost surely, 212860967456 is an apocalyptic number.
12860967456 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 12860967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19962306000).
12860967456 is an abundant number, since it is smaller than the sum of its proper divisors (27063644544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12860967456 is an equidigital number, since it uses as much as digits as its factorization.
12860967456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87093 (or 87073 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 12860967456 in words is "twelve billion, eight hundred sixty million, nine hundred sixty-seven thousand, four hundred fifty-six".
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