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265885114208256 = 21234283092
BaseRepresentation
bin111100011101001000110011…
…110010001001000000000000
31021212102100221202200012210000
4330131020303302021000000
5234322230203214131011
62341253534001440000
7110001364664666244
oct7435106362110000
91255370852605700
10265885114208256
11777a02753a6084
12259a2396940000
13b548b216bb31a
144992ca0114424
1520b1436ada356
hexf1d233c89000

265885114208256 has 195 divisors, whose sum is σ = 794303899365801. Its totient is φ = 88625240653824.

The previous prime is 265885114208221. The next prime is 265885114208281. The reversal of 265885114208256 is 652802411588562.

The square root of 265885114208256 is 16305984.

It is a perfect power (a square), and thus also a powerful number.

265885114208256 is a `hidden beast` number, since 2 + 6 + 5 + 8 + 85 + 1 + 1 + 420 + 82 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113660844281856 + 152224269926400 = 10661184^2 + 12337920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 265885114208193 and 265885114208202.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9392232630 + ... + 9392260938.

Almost surely, 2265885114208256 is an apocalyptic number.

265885114208256 is the 16305984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265885114208256

265885114208256 is an abundant number, since it is smaller than the sum of its proper divisors (528418785157545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

265885114208256 is an frugal number, since it uses more digits than its factorization.

265885114208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56654 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 265885114208256 in words is "two hundred sixty-five trillion, eight hundred eighty-five billion, one hundred fourteen million, two hundred eight thousand, two hundred fifty-six".