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52364344346325 = 33521129243187481
BaseRepresentation
bin10111110100000000001100…
…01001001100011011010101
320212101222112012011121102000
423322000012021030123111
523330414134123040300
6303211503034105513
714013125160652134
oct1372000611143325
9225358465147360
1052364344346325
111575965927a9a0
125a58688b7b299
13232ac235bb54b
14cd063aa3b91b
1560c1b4142c00
hex2fa00624c6d5

52364344346325 has 96 divisors (see below), whose sum is σ = 108558891964800. Its totient is φ = 24513297984000.

The previous prime is 52364344346287. The next prime is 52364344346341.

It is a happy number.

52364344346325 is a `hidden beast` number, since 5 + 236 + 4 + 3 + 4 + 43 + 46 + 325 = 666.

52364344346325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52364344346325 - 215 = 52364344313557 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121378416 + ... + 121809065.

It is an arithmetic number, because the mean of its divisors is an integer number (1130821791300).

Almost surely, 252364344346325 is an apocalyptic number.

52364344346325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52364344346325 is an abundant number, since it is smaller than the sum of its proper divisors (56194547618475).

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

52364344346325 is a wasteful number, since it uses less digits than its factorization.

52364344346325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243187540 (or 243187529 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 52364344346325 in words is "fifty-two trillion, three hundred sixty-four billion, three hundred forty-four million, three hundred forty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 29 33 45 55 75 87 99 135 145 165 225 261 275 297 319 435 495 675 725 783 825 957 1305 1485 1595 2175 2475 2871 3915 4785 6525 7425 7975 8613 14355 19575 23925 43065 71775 215325 243187481 729562443 1215937405 2188687329 2675062291 3647812215 6079687025 6566061987 7052436949 8025186873 10943436645 13375311455 18239061075 21157310847 24075560619 32830309935 35262184745 40125934365 54717183225 63471932541 66876557275 72226681857 77576806439 105786554235 120377803095 164151549675 176310923725 190415797623 200629671825 232730419317 317359662705 361133409285 387884032195 528932771175 601889015475 698191257951 952078988115 1163652096585 1586798313525 1805667046425 1939420160975 2094573773853 3490956289755 4760394940575 5818260482925 10472868869265 17454781448775 52364344346325