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52535522052 = 2236131385869
BaseRepresentation
bin110000111011010111…
…000111001100000100
312000121021212001000000
4300323113013030010
51330043043201202
640045014321300
73536610366216
oct607327071404
9160537761000
1052535522052
1120309a29322
12a222059230
134c53158730
14278538a5b6
15157728a91c
hexc3b5c7304

52535522052 has 84 divisors (see below), whose sum is σ = 148446079180. Its totient is φ = 16164764352.

The previous prime is 52535522003. The next prime is 52535522057. The reversal of 52535522052 is 25022553525.

52535522052 is a `hidden beast` number, since 5 + 2 + 53 + 552 + 2 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8387629056 + 44147892996 = 91584^2 + 210114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52535521998 and 52535522016.

It is not an unprimeable number, because it can be changed into a prime (52535522057) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 655027 + ... + 730842.

Almost surely, 252535522052 is an apocalyptic number.

52535522052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

52535522052 is an abundant number, since it is smaller than the sum of its proper divisors (95910557128).

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

52535522052 is a wasteful number, since it uses less digits than its factorization.

52535522052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385904 (or 1385887 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 52535522052 in words is "fifty-two billion, five hundred thirty-five million, five hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 37908 1385869 2771738 4157607 5543476 8315214 12472821 16630428 18016297 24945642 36032594 37418463 49891284 54048891 72065188 74836926 108097782 112255389 149673852 162146673 216195564 224510778 324293346 336766167 449021556 486440019 648586692 673532334 972880038 1010298501 1347064668 1459320057 1945760076 2020597002 2918640114 4041194004 4377960171 5837280228 8755920342 13133880513 17511840684 26267761026 52535522052