| Base | Representation |
|---|---|
| bin | 11100101100000100000010… |
| … | …001111101111111111101000 |
| 3 | 121112202001022122200010122000 |
| 4 | 130230010002033233333220 |
| 5 | 113014210400214002033 |
| 6 | 1124203113215331000 |
| 7 | 35401501536646605 |
| oct | 3454040217577750 |
| 9 | 545661278603560 |
| 10 | 126173291937768 |
| 11 | 37225879a71359 |
| 12 | 12199290220a60 |
| 13 | 55531237322ca |
| 14 | 2322b69bb36ac |
| 15 | e8c0cbe47a13 |
| hex | 72c1023effe8 |
126173291937768 has 256 divisors, whose sum is σ = 373069670400000. Its totient is φ = 39399269771520.
The previous prime is 126173291937761. The next prime is 126173291937769. The reversal of 126173291937768 is 867739192371621.
126173291937768 is a `hidden beast` number, since 1 + 2 + 6 + 173 + 29 + 1 + 9 + 377 + 68 = 666.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 126173291937696 and 126173291937705.
It is not an unprimeable number, because it can be changed into a prime (126173291937761) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135900973 + ... + 136826243.
It is an arithmetic number, because the mean of its divisors is an integer number (1457303400000).
Almost surely, 2126173291937768 is an apocalyptic number.
126173291937768 is a gapful number since it is divisible by the number (18) 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 126173291937768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186534835200000).
126173291937768 is an abundant number, since it is smaller than the sum of its proper divisors (246896378462232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126173291937768 is a wasteful number, since it uses less digits than its factorization.
126173291937768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 925677 (or 925667 counting only the distinct ones).
The product of its digits is 288054144, while the sum is 72.
The spelling of 126173291937768 in words is "one hundred twenty-six trillion, one hundred seventy-three billion, two hundred ninety-one million, nine hundred thirty-seven thousand, seven hundred sixty-eight".
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