| Base | Representation |
|---|---|
| bin | 11100110000010011011001… |
| … | …010110101111011111100000 |
| 3 | 121120202220101212000022012100 |
| 4 | 130300103121112233133200 |
| 5 | 113033444112400242432 |
| 6 | 1124545021531130400 |
| 7 | 35431525154624550 |
| oct | 3460233126573740 |
| 9 | 546686355008170 |
| 10 | 126464663680992 |
| 11 | 373283a97a262a |
| 12 | 12225847ba3a00 |
| 13 | 5574749b0a820 |
| 14 | 2332ccb02b160 |
| 15 | e94981dab07c |
| hex | 7304d95af7e0 |
126464663680992 has 864 divisors, whose sum is σ = 477635345381376. Its totient is φ = 30873934080000.
The previous prime is 126464663680987. The next prime is 126464663681003. The reversal of 126464663680992 is 299086366464621.
126464663680992 is a `hidden beast` number, since 1 + 2 + 6 + 46 + 466 + 36 + 8 + 0 + 9 + 92 = 666.
It is a super-2 number, since 2×1264646636809922 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 126464663680992.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 429637867 + ... + 429932117.
It is an arithmetic number, because the mean of its divisors is an integer number (552818686784).
Almost surely, 2126464663680992 is an apocalyptic number.
126464663680992 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 126464663680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238817672690688).
126464663680992 is an abundant number, since it is smaller than the sum of its proper divisors (351170681700384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126464663680992 is a wasteful number, since it uses less digits than its factorization.
126464663680992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294364 (or 294330 counting only the distinct ones).
The product of its (nonzero) digits is 967458816, while the sum is 72.
The spelling of 126464663680992 in words is "one hundred twenty-six trillion, four hundred sixty-four billion, six hundred sixty-three million, six hundred eighty thousand, nine hundred ninety-two".
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