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52984444448925 = 325211121717590679
BaseRepresentation
bin11000000110000011001101…
…11111010111000010011101
320221121021010000220200002200
430003001212333113002131
523421044120234331200
6304404415011242113
714105666632604313
oct1403014677270235
9227537100820080
1052984444448925
1115978638654030
125b388a72a9339
1323745475a1a92
14d126645c40b3
1561d3a8901800
hex303066fd709d

52984444448925 has 72 divisors (see below), whose sum is σ = 103613467688640. Its totient is φ = 25668317337600.

The previous prime is 52984444448909. The next prime is 52984444448927.

52984444448925 is a `hidden beast` number, since 5 + 2 + 9 + 84 + 4 + 4 + 44 + 489 + 25 = 666.

52984444448925 is nontrivially palindromic in base 10.

52984444448925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52984444448925 - 24 = 52984444448909 is a prime.

It is a super-2 number, since 2×529844444489252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52984444448927) 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 71 ways as a sum of consecutive naturals, for example, 5783265 + ... + 11807414.

It is an arithmetic number, because the mean of its divisors is an integer number (1439075940120).

Almost surely, 252984444448925 is an apocalyptic number.

52984444448925 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52984444448925 is a deficient number, since it is larger than the sum of its proper divisors (50629023239715).

52984444448925 is a wasteful number, since it uses less digits than its factorization.

52984444448925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17591923 (or 17591915 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 72.

The spelling of 52984444448925 in words is "fifty-two trillion, nine hundred eighty-four billion, four hundred forty-four million, four hundred forty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 1217 2475 3651 6085 10953 13387 18255 30425 40161 54765 66935 91275 120483 200805 273825 334675 602415 1004025 3012075 17590679 52772037 87953395 158316111 193497469 263860185 439766975 580492407 791580555 967487345 1319300925 1741477221 2902462035 3957902775 4837436725 8707386105 14512310175 21407856343 43536930525 64223569029 107039281715 192670707087 235486419773 321117845145 535196408575 706459259319 963353535435 1177432098865 1605589225725 2119377777957 3532296296595 4816767677175 5887160494325 10596888889785 17661481482975 52984444448925