| Base | Representation |
|---|---|
| bin | 1111001111001001101… |
| … | …1001101011011000100 |
| 3 | 221000122212111211110211 |
| 4 | 3303302123031123010 |
| 5 | 13242043401210100 |
| 6 | 320130413525204 |
| 7 | 24624533654200 |
| oct | 3636233153304 |
| 9 | 830585454424 |
| 10 | 261765256900 |
| 11 | a1017732964 |
| 12 | 428947a3804 |
| 13 | 1b8b86c3574 |
| 14 | c9531a5b00 |
| 15 | 6c20b6b1ba |
| hex | 3cf26cd6c4 |
261765256900 has 81 divisors (see below), whose sum is σ = 660860715879. Its totient is φ = 89735808960.
The previous prime is 261765256867. The next prime is 261765256903. The reversal of 261765256900 is 9652567162.
The square root of 261765256900 is 511630.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 10339229124 + 251426027776 = 101682^2 + 501424^2 .
It is a super-2 number, since 2×2617652569002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (261765256903) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35810446 + ... + 35817754.
Almost surely, 2261765256900 is an apocalyptic number.
261765256900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
261765256900 is the 511630-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 261765256900
261765256900 is an abundant number, since it is smaller than the sum of its proper divisors (399095458979).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
261765256900 is an frugal number, since it uses more digits than its factorization.
261765256900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14646 (or 7323 counting only the distinct ones).
The product of its (nonzero) digits is 1360800, while the sum is 49.
Multiplying 261765256900 by its sum of digits (49), we get a square (12826497588100 = 35814102).
261765256900 divided by its sum of digits (49) gives a square (5342148100 = 730902).
The spelling of 261765256900 in words is "two hundred sixty-one billion, seven hundred sixty-five million, two hundred fifty-six thousand, nine hundred".
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