| Base | Representation |
|---|---|
| bin | 111010100001100010… |
| … | …0101000110100000000 |
| 3 | 110000101210212000110000 |
| 4 | 1311003010220310000 |
| 5 | 4024342402401200 |
| 6 | 133423012240000 |
| 7 | 12036310525206 |
| oct | 1650304506400 |
| 9 | 400353760400 |
| 10 | 125679340800 |
| 11 | 49333790a02 |
| 12 | 20435910000 |
| 13 | bb0ba00b60 |
| 14 | 6123725076 |
| 15 | 340889d300 |
| hex | 1d43128d00 |
125679340800 has 1080 divisors, whose sum is σ = 530360101656. Its totient is φ = 29090119680.
The previous prime is 125679340763. The next prime is 125679340823. The reversal of 125679340800 is 8043976521.
125679340800 is a `hidden beast` number, since 1 + 2 + 567 + 9 + 3 + 4 + 0 + 80 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 51372942336 + 74306398464 = 226656^2 + 272592^2 .
It is a tau number, because it is divible by the number of its divisors (1080).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 119 ways as a sum of consecutive naturals, for example, 114565852 + ... + 114566948.
It is a 1-persistent number, because it is pandigital, but 2⋅125679340800 = 251358681600 is not.
Almost surely, 2125679340800 is an apocalyptic number.
125679340800 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 125679340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265180050828).
125679340800 is an abundant number, since it is smaller than the sum of its proper divisors (404680760856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125679340800 is a wasteful number, since it uses less digits than its factorization.
125679340800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1165 (or 1137 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 125679340800 in words is "one hundred twenty-five billion, six hundred seventy-nine million, three hundred forty thousand, eight hundred".
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