Base | Representation |
---|---|
bin | 111010100000111111… |
… | …0001101110010000000 |
3 | 110000100112010002222200 |
4 | 1311001332031302000 |
5 | 4024323141130000 |
6 | 133421112433200 |
7 | 12035664566505 |
oct | 1650176156200 |
9 | 400315102880 |
10 | 125660880000 |
11 | 49324322047 |
12 | 2042b6a8800 |
13 | bb07c391c6 |
14 | 61210bb4ac |
15 | 3406e53500 |
hex | 1d41f8dc80 |
125660880000 has 960 divisors, whose sum is σ = 478139290200. Its totient is φ = 31629312000.
The previous prime is 125660879989. The next prime is 125660880011. The reversal of 125660880000 is 88066521.
It is a happy number.
125660880000 is a `hidden beast` number, since 12 + 566 + 0 + 8 + 80 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (125660879989) and next prime (125660880011).
It can be written as a sum of positive squares in 20 ways, for example, as 28929927744 + 96730952256 = 170088^2 + 311016^2 .
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 119 ways as a sum of consecutive naturals, for example, 1411919956 + ... + 1411920044.
Almost surely, 2125660880000 is an apocalyptic number.
125660880000 is a gapful number since it is divisible by the number (10) 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 125660880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239069645100).
125660880000 is an abundant number, since it is smaller than the sum of its proper divisors (352478410200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125660880000 is an equidigital number, since it uses as much as digits as its factorization.
125660880000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 189 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 125660880000 in words is "one hundred twenty-five billion, six hundred sixty million, eight hundred eighty thousand".
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