| Base | Representation |
|---|---|
| bin | 111010101001011110… |
| … | …1000010000000000000 |
| 3 | 110001002101012122102200 |
| 4 | 1311102331002000000 |
| 5 | 4030414110013042 |
| 6 | 133505251113200 |
| 7 | 12046024325412 |
| oct | 1652275020000 |
| 9 | 401071178380 |
| 10 | 125945782272 |
| 11 | 49460124372 |
| 12 | 204aaba2800 |
| 13 | bb51c7c02b |
| 14 | 614ac809b2 |
| 15 | 3421e7dc4c |
| hex | 1d52f42000 |
125945782272 has 126 divisors (see below), whose sum is σ = 364099740303. Its totient is φ = 41949806592.
The previous prime is 125945782267. The next prime is 125945782273. The reversal of 125945782272 is 272287549521.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
125945782272 is a `hidden beast` number, since 1 + 259 + 45 + 7 + 82 + 272 = 666.
It can be written as a sum of positive squares in only one way, i.e., 62972891136 + 62972891136 = 250944^2 + 250944^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=250944.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (125945782273) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96361843 + ... + 96363149.
Almost surely, 2125945782272 is an apocalyptic number.
125945782272 is a gapful number since it is divisible by the number (12) 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 125945782272
125945782272 is an abundant number, since it is smaller than the sum of its proper divisors (238153958031).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125945782272 is an frugal number, since it uses more digits than its factorization.
125945782272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2646 (or 1312 counting only the distinct ones).
The product of its digits is 5644800, while the sum is 54.
The spelling of 125945782272 in words is "one hundred twenty-five billion, nine hundred forty-five million, seven hundred eighty-two thousand, two hundred seventy-two".
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