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52539693525 = 3352119772949
BaseRepresentation
bin110000111011100111…
…000001100111010101
312000121120200222012000
4300323213001213111
51330100130143100
640045243545513
73536661012024
oct607347014725
9160546628160
1052539693525
1120311318420
12a22352b299
134c53c89367
142785b548bb
151577811900
hexc3b9c19d5

52539693525 has 96 divisors (see below), whose sum is σ = 106378608000. Its totient is φ = 25210828800.

The previous prime is 52539693487. The next prime is 52539693541.

52539693525 is a `hidden beast` number, since 5 + 2 + 53 + 9 + 69 + 3 + 525 = 666.

52539693525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52539693525 - 29 = 52539693013 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 683751 + ... + 756699.

It is an arithmetic number, because the mean of its divisors is an integer number (1108110500).

Almost surely, 252539693525 is an apocalyptic number.

52539693525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52539693525 is an abundant number, since it is smaller than the sum of its proper divisors (53838914475).

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

52539693525 is a wasteful number, since it uses less digits than its factorization.

52539693525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73076 (or 73065 counting only the distinct ones).

The product of its digits is 10935000, while the sum is 54.

The spelling of 52539693525 in words is "fifty-two billion, five hundred thirty-nine million, six hundred ninety-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 97 99 135 165 225 275 291 297 485 495 675 825 873 1067 1455 1485 2425 2475 2619 3201 4365 5335 7275 7425 9603 13095 16005 21825 26675 28809 48015 65475 72949 80025 144045 218847 240075 364745 656541 720225 802439 1094235 1823725 1969623 2407317 3282705 4012195 5471175 7076053 7221951 9848115 12036585 16413525 20060975 21228159 21665853 35380265 36109755 49240575 60182925 63684477 77836583 106140795 108329265 176901325 180548775 191053431 233509749 318422385 389182915 530703975 541646325 700529247 955267155 1167548745 1592111925 1945914575 2101587741 3502646235 4776335775 5837743725 10507938705 17513231175 52539693525