| Base | Representation |
|---|---|
| bin | 111100011011011001… |
| … | …1101011001011100100 |
| 3 | 110101221210101121000000 |
| 4 | 1320312303223023210 |
| 5 | 4111231221103011 |
| 6 | 135340450021300 |
| 7 | 12242533226400 |
| oct | 1706663531344 |
| 9 | 411853347000 |
| 10 | 129768534756 |
| 11 | 50041a55943 |
| 12 | 21197277830 |
| 13 | c310c51653 |
| 14 | 63d0856100 |
| 15 | 3597891356 |
| hex | 1e36ceb2e4 |
129768534756 has 189 divisors, whose sum is σ = 396492348441. Its totient is φ = 37037818944.
The previous prime is 129768534737. The next prime is 129768534767. The reversal of 129768534756 is 657435867921.
The square root of 129768534756 is 360234.
It is a perfect power (a square), and thus also a powerful number.
129768534756 is a `hidden beast` number, since 1 + 2 + 97 + 6 + 8 + 534 + 7 + 5 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 54042300900 + 75726233856 = 232470^2 + 275184^2 .
It is a tau number, because it is divible by the number of its divisors (189).
It is a super-2 number, since 2×1297685347562 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 129768534693 and 129768534702.
It is an unprimeable number.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 136167976 + ... + 136168928.
Almost surely, 2129768534756 is an apocalyptic number.
129768534756 is the 360234-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 129768534756
129768534756 is an abundant number, since it is smaller than the sum of its proper divisors (266723813685).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129768534756 is an frugal number, since it uses more digits than its factorization.
129768534756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1942 (or 965 counting only the distinct ones).
The product of its digits is 76204800, while the sum is 63.
It can be divided in two parts, 12976853 and 4756, that added together give a square (12981609 = 36032).
The spelling of 129768534756 in words is "one hundred twenty-nine billion, seven hundred sixty-eight million, five hundred thirty-four thousand, seven hundred fifty-six".
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