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256345135225 = 5211538893153
BaseRepresentation
bin1110111010111101011…
…1000101100001111001
3220111200010121010022121
43232233113011201321
513144443323311400
6313432513521241
724343320461164
oct3565727054171
9814603533277
10256345135225
1199796167263
1241821573221
131b2337c978a
14c59b3c2adb
156a04dc921a
hex3baf5c5879

256345135225 has 12 divisors (see below), whose sum is σ = 318143691196. Its totient is φ = 204898222080.

The previous prime is 256345135223. The next prime is 256345135247. The reversal of 256345135225 is 522531543652.

It can be written as a sum of positive squares in 6 ways, for example, as 2623385961 + 253721749264 = 51219^2 + 503708^2 .

It is not a de Polignac number, because 256345135225 - 21 = 256345135223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256345135223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4417752 + ... + 4475401.

Almost surely, 2256345135225 is an apocalyptic number.

256345135225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256345135225 is a deficient number, since it is larger than the sum of its proper divisors (61798555971).

256345135225 is a wasteful number, since it uses less digits than its factorization.

256345135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894316 (or 8894311 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 43.

Adding to 256345135225 its reverse (522531543652), we get a palindrome (778876678877).

The spelling of 256345135225 in words is "two hundred fifty-six billion, three hundred forty-five million, one hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 1153 5765 28825 8893153 44465765 222328825 10253805409 51269027045 256345135225