| Base | Representation |
|---|---|
| bin | 11100100100101110100000… |
| … | …100101000100011011000000 |
| 3 | 121110221212000120222011200010 |
| 4 | 130210232200211010123000 |
| 5 | 112432430400344420124 |
| 6 | 1123135335032424520 |
| 7 | 35320203331525500 |
| oct | 3444564045043300 |
| 9 | 543855016864603 |
| 10 | 125669142185664 |
| 11 | 37050a90637770 |
| 12 | 12117631548140 |
| 13 | 551771a94ca1c |
| 14 | 23065c17b7a00 |
| 15 | e7de21d5d529 |
| hex | 724ba09446c0 |
125669142185664 has 1344 divisors, whose sum is σ = 436363676928000. Its totient is φ = 31550692884480.
The previous prime is 125669142185651. The next prime is 125669142185677. The reversal of 125669142185664 is 466581241966521.
125669142185664 is digitally balanced in base 3, 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 (125669142185651) and next prime (125669142185677).
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (66).
It is a junction number, because it is equal to n+sod(n) for n = 125669142185595 and 125669142185604.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83835317587 + ... + 83835319085.
Almost surely, 2125669142185664 is an apocalyptic number.
125669142185664 is a gapful number since it is divisible by the number (14) 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 125669142185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218181838464000).
125669142185664 is an abundant number, since it is smaller than the sum of its proper divisors (310694534742336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125669142185664 is a wasteful number, since it uses less digits than its factorization.
125669142185664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1826 (or 1809 counting only the distinct ones).
The product of its digits is 149299200, while the sum is 66.
The spelling of 125669142185664 in words is "one hundred twenty-five trillion, six hundred sixty-nine billion, one hundred forty-two million, one hundred eighty-five thousand, six hundred sixty-four".
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