Base | Representation |
---|---|
bin | 11101000011111011000010… |
… | …110110000111100011001001 |
3 | 121202112210110011100100010100 |
4 | 131003323002312013203021 |
5 | 113223041312333322334 |
6 | 1131500234402040013 |
7 | 35631114645334602 |
oct | 3503730266074311 |
9 | 552483404310110 |
10 | 127812905760969 |
11 | 377a8170254500 |
12 | 12402bb7649009 |
13 | 56419226c9100 |
14 | 237c26b664da9 |
15 | eb9a91180c99 |
hex | 743ec2d878c9 |
127812905760969 has 405 divisors, whose sum is σ = 235166997755781. Its totient is φ = 66812419365120.
The previous prime is 127812905760959. The next prime is 127812905760977. The reversal of 127812905760969 is 969067509218721.
The square root of 127812905760969 is 11305437.
It is a perfect power (a square), and thus also a powerful number.
127812905760969 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 1 + 2 + 9 + 0 + 5 + 7 + 609 + 6 + 9 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 12858054870969 + 114954850890000 = 3585813^2 + 10721700^2 .
It is not a de Polignac number, because 127812905760969 - 221 = 127812903663817 is a prime.
It is a super-2 number, since 2×1278129057609692 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 127812905760897 and 127812905760906.
It is not an unprimeable number, because it can be changed into a prime (127812905760959) by changing a digit.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1750861722717 + ... + 1750861722789.
Almost surely, 2127812905760969 is an apocalyptic number.
127812905760969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.
127812905760969 is the 11305437-th square number.
127812905760969 is the 5652719-th centered octagonal number.
It is an amenable number.
127812905760969 is a deficient number, since it is larger than the sum of its proper divisors (107354091994812).
127812905760969 is an frugal number, since it uses more digits than its factorization.
127812905760969 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 276 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 205752960, while the sum is 72.
The spelling of 127812905760969 in words is "one hundred twenty-seven trillion, eight hundred twelve billion, nine hundred five million, seven hundred sixty thousand, nine hundred sixty-nine".
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