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255725527552 = 291124127801
BaseRepresentation
bin1110111000101001101…
…1011110001000000000
3220110001221200210101021
43232022123132020000
513142211213340202
6313251221315224
724322055055625
oct3561233361000
9813057623337
10255725527552
11994a8436900
1241689b65b14
131b165327211
14c53cdb434c
1569ba7d6a37
hex3b8a6de200

255725527552 has 60 divisors (see below), whose sum is σ = 561624612318. Its totient is φ = 116238848000.

The previous prime is 255725527523. The next prime is 255725527579.

255725527552 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 242678405376 + 13047122176 = 492624^2 + 114224^2 .

It is a super-2 number, since 2×2557255275522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 255725527552.

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 5 ways as a sum of consecutive naturals, for example, 2001949 + ... + 2125852.

Almost surely, 2255725527552 is an apocalyptic number.

255725527552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255725527552 is an abundant number, since it is smaller than the sum of its proper divisors (305899084766).

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

255725527552 is an equidigital number, since it uses as much as digits as its factorization.

255725527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127841 (or 4127814 counting only the distinct ones).

The product of its digits is 12250000, while the sum is 52.

The spelling of 255725527552 in words is "two hundred fifty-five billion, seven hundred twenty-five million, five hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2816 3872 5632 7744 15488 30976 61952 4127801 8255602 16511204 33022408 45405811 66044816 90811622 132089632 181623244 264179264 363246488 499463921 528358528 726492976 998927842 1056717056 1452985952 1997855684 2113434112 2905971904 3995711368 5811943808 7991422736 11623887616 15982845472 23247775232 31965690944 63931381888 127862763776 255725527552