| Base | Representation |
|---|---|
| bin | 10110011100001010010… |
| … | …10011111110000011001 |
| 3 | 2201201011122010020210000 |
| 4 | 23032011022133300121 |
| 5 | 100113034004022400 |
| 6 | 1350112514443213 |
| 7 | 106463631431034 |
| oct | 13160512376031 |
| 9 | 2651148106700 |
| 10 | 771033267225 |
| 11 | 277aa21a6721 |
| 12 | 105521593509 |
| 13 | 5792899b900 |
| 14 | 2946524801b |
| 15 | 150ca26b600 |
| hex | b38529fc19 |
771033267225 has 405 divisors, whose sum is σ = 1653137280333. Its totient is φ = 355055425920.
The previous prime is 771033267211. The next prime is 771033267227. The reversal of 771033267225 is 522762330177.
It is a happy number.
The square root of 771033267225 is 878085.
It is a perfect power (a square), and thus also a powerful number.
771033267225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 198734965209 + 572298302016 = 445797^2 + 756504^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is not a de Polignac number, because 771033267225 - 215 = 771033234457 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (771033267227) 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, 9759914736 + ... + 9759914814.
Almost surely, 2771033267225 is an apocalyptic number.
771033267225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.
771033267225 is the 878085-th square number.
771033267225 is the 439043-rd centered octagonal number.
It is an amenable number.
771033267225 is an abundant number, since it is smaller than the sum of its proper divisors (882104013108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
771033267225 is a wasteful number, since it uses less digits than its factorization.
771033267225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 244 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 740880, while the sum is 45.
The spelling of 771033267225 in words is "seven hundred seventy-one billion, thirty-three million, two hundred sixty-seven thousand, two hundred twenty-five".
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