| Base | Representation |
|---|---|
| bin | 111011000001111100… |
| … | …0010110101110000000 |
| 3 | 110010012120210112112202 |
| 4 | 1312003320112232000 |
| 5 | 4034104224440000 |
| 6 | 134122533012332 |
| 7 | 12105252442550 |
| oct | 1660370265600 |
| 9 | 403176715482 |
| 10 | 126766640000 |
| 11 | 49841510990 |
| 12 | 20699a840a8 |
| 13 | bc53055870 |
| 14 | 61c7cb9160 |
| 15 | 346e075dd5 |
| hex | 1d83e16b80 |
126766640000 has 640 divisors, whose sum is σ = 423980282880. Its totient is φ = 36449280000.
The previous prime is 126766639997. The next prime is 126766640003. The reversal of 126766640000 is 46667621.
It is an interprime number because it is at equal distance from previous prime (126766639997) and next prime (126766640003).
It is a tau number, because it is divible by the number of its divisors (640).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126766640003) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 80079209 + ... + 80080791.
It is an arithmetic number, because the mean of its divisors is an integer number (662469192).
Almost surely, 2126766640000 is an apocalyptic number.
126766640000 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 126766640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211990141440).
126766640000 is an abundant number, since it is smaller than the sum of its proper divisors (297213642880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126766640000 is a wasteful number, since it uses less digits than its factorization.
126766640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1648 (or 1621 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 38.
It can be divided in two parts, 126 and 766640000, that multiplied together give a square (96596640000 = 3108002).
The spelling of 126766640000 in words is "one hundred twenty-six billion, seven hundred sixty-six million, six hundred forty thousand".
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