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532811322050 = 25272147472
BaseRepresentation
bin1111100000011100000…
…01111001001011000010
31212221021112111120110112
413300032001321023002
532212144144301200
61044434203431322
753331363340400
oct7601601711302
91787245446415
10532811322050
11195a67112387
1287319525542
133b322aa5637
141bb06b9c470
15dcd6481535
hex7c0e0792c2

532811322050 has 54 divisors (see below), whose sum is σ = 1152907900857. Its totient is φ = 182665780080.

The previous prime is 532811322047. The next prime is 532811322067. The reversal of 532811322050 is 50223118235.

It can be written as a sum of positive squares in 2 ways, for example, as 522155095609 + 10656226441 = 722603^2 + 103229^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=516145.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 532811321998 and 532811322016.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 36122777 + ... + 36137523.

Almost surely, 2532811322050 is an apocalyptic number.

532811322050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532811322050 is an abundant number, since it is smaller than the sum of its proper divisors (620096578807).

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

532811322050 is an frugal number, since it uses more digits than its factorization.

532811322050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Multiplying 532811322050 by its sum of digits (32), we get a square (17049962305600 = 41291602).

The spelling of 532811322050 in words is "five hundred thirty-two billion, eight hundred eleven million, three hundred twenty-two thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 14747 29494 73735 103229 147470 206458 368675 516145 722603 737350 1032290 1445206 2580725 3613015 5161450 7226030 18065075 36130150 217474009 434948018 1087370045 1522318063 2174740090 3044636126 5436850225 7611590315 10656226441 10873700450 15223180630 21312452882 38057951575 53281132205 76115903150 106562264410 266405661025 532811322050