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53021144524405 = 52337971311935081
BaseRepresentation
bin11000000111000111100100…
…11111000010011001110101
320221201202211201120200011111
430003203302133002121311
523422144300444240110
6304433324425235021
714111436250236031
oct1403436237023165
9227652751520144
1053021144524405
1115992160909a22
125b43a2a032a71
132377b45a9a485
14d143467d51c1
1561e30584ce8a
hex3038f27c2675

53021144524405 has 128 divisors (see below), whose sum is σ = 69788278619136. Its totient is φ = 38562457190400.

The previous prime is 53021144524391. The next prime is 53021144524463. The reversal of 53021144524405 is 50442544112035.

53021144524405 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 53021144524405 - 25 = 53021144524373 is a prime.

It is a super-2 number, since 2×530211445244052 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10435176465 + ... + 10435181545.

It is an arithmetic number, because the mean of its divisors is an integer number (545220926712).

Almost surely, 253021144524405 is an apocalyptic number.

It is an amenable number.

53021144524405 is a deficient number, since it is larger than the sum of its proper divisors (16767134094731).

53021144524405 is a wasteful number, since it uses less digits than its factorization.

53021144524405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567.

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 53021144524405 in words is "fifty-three trillion, twenty-one billion, one hundred forty-four million, five hundred twenty-four thousand, four hundred five".

Divisors: 1 5 23 37 97 115 131 185 193 485 655 851 965 2231 3013 3589 4255 4439 4847 5081 7141 11155 12707 15065 17945 18721 22195 24235 25283 25405 35705 63535 82547 93605 111481 116863 126415 164243 187997 292261 412735 430583 470159 492857 557405 581509 584315 665611 692677 821215 935471 939985 980633 1461305 2152915 2350795 2452451 2464285 2907545 3328055 3463385 4323931 4677355 4903165 10813657 11335711 12262255 15309053 15931571 18235709 21515833 21619655 22554559 24627607 36283421 54068285 56406373 56678555 64564267 76545265 79657855 90740687 91178545 95121401 107579165 112772795 123138035 128462923 181417105 282031865 322821335 419421307 453703435 475607005 566434961 642314615 834518683 1484978141 2087035801 2097106535 2187792223 2388877879 2832174805 2954647229 3519491837 4172593415 4753128151 7424890705 10435179005 10938961115 11944389395 12460903531 14773236145 17597459185 23765640755 54944191217 62304517655 80948312251 109321947473 274720956085 286600781213 404741561255 461053430647 546609737365 1433003906065 2305267153235 10604228904881 53021144524405