Base | Representation |
---|---|
bin | 1111010111000010100… |
… | …0000011011011000001 |
3 | 221020010102120121201211 |
4 | 3311300220003123001 |
5 | 13310412413144100 |
6 | 321120450530121 |
7 | 25031153456200 |
oct | 3656050033301 |
9 | 836112517654 |
10 | 263882553025 |
11 | a1a03904873 |
12 | 43185896941 |
13 | 1bb65258c00 |
14 | cab4475237 |
15 | 6ce699d1ba |
hex | 3d70a036c1 |
263882553025 has 81 divisors (see below), whose sum is σ = 412534586331. Its totient is φ = 166881012480.
The previous prime is 263882553013. The next prime is 263882553031. The reversal of 263882553025 is 520355288362.
The square root of 263882553025 is 513695.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 249359410881 + 14523142144 = 499359^2 + 120512^2 .
It is not a de Polignac number, because 263882553025 - 25 = 263882552993 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a self number, because there is not a number n which added to its sum of digits gives 263882553025.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 233730661 + ... + 233731789.
Almost surely, 2263882553025 is an apocalyptic number.
263882553025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
263882553025 is the 513695-th square number.
263882553025 is the 256848-th centered octagonal number.
It is an amenable number.
263882553025 is a deficient number, since it is larger than the sum of its proper divisors (148652033306).
263882553025 is an equidigital number, since it uses as much as digits as its factorization.
263882553025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2308 (or 1154 counting only the distinct ones).
The product of its (nonzero) digits is 3456000, while the sum is 49.
Multiplying 263882553025 by its sum of digits (49), we get a square (12930245098225 = 35958652).
263882553025 divided by its sum of digits (49) gives a square (5385358225 = 733852).
The spelling of 263882553025 in words is "two hundred sixty-three billion, eight hundred eighty-two million, five hundred fifty-three thousand, twenty-five".
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