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255359953552 = 241113910438193
BaseRepresentation
bin1110110111010010100…
…0111010101010010000
3220102010110210201010111
43231310220322222100
513140434122003202
6313151042011104
724310025535334
oct3556450725220
9812113721114
10255359953552
1199330044730
12415a7646a94
131b10767a342
14c5066117c4
1569986736d7
hex3b74a3aa90

255359953552 has 40 divisors (see below), whose sum is σ = 543621143520. Its totient is φ = 115237639680.

The previous prime is 255359953549. The next prime is 255359953559.

It is a happy number.

255359953552 is nontrivially palindromic in base 10.

255359953552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255359953559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5194633 + ... + 5243560.

It is an arithmetic number, because the mean of its divisors is an integer number (13590528588).

Almost surely, 2255359953552 is an apocalyptic number.

255359953552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255359953552 is an abundant number, since it is smaller than the sum of its proper divisors (288261189968).

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

255359953552 is a wasteful number, since it uses less digits than its factorization.

255359953552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438351 (or 10438345 counting only the distinct ones).

The product of its digits is 45562500, while the sum is 58.

The spelling of 255359953552 in words is "two hundred fifty-five billion, three hundred fifty-nine million, nine hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 6116 12232 24464 10438193 20876386 41752772 83505544 114820123 167011088 229640246 459280492 918560984 1450908827 1837121968 2901817654 5803635308 11607270616 15959997097 23214541232 31919994194 63839988388 127679976776 255359953552