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534134262900 = 223527594311011
BaseRepresentation
bin1111100010111001110…
…00100000110001110100
31220001200201211221010210
413301130320200301310
532222401332403100
61045213342545420
753406226215660
oct7613470406164
91801621757123
10534134262900
11196585959427
1287628598270
133b4a3bb3484
141bbd07718a0
15dd626a3c50
hex7c5ce20c74

534134262900 has 144 divisors (see below), whose sum is σ = 1796140039680. Its totient is φ = 120018518400.

The previous prime is 534134262889. The next prime is 534134262901. The reversal of 534134262900 is 9262431435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534134262901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2031606 + ... + 2279405.

It is an arithmetic number, because the mean of its divisors is an integer number (12473194720).

Almost surely, 2534134262900 is an apocalyptic number.

534134262900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534134262900 is an abundant number, since it is smaller than the sum of its proper divisors (1262005776780).

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

534134262900 is a wasteful number, since it uses less digits than its factorization.

534134262900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311094 (or 4311087 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 534134262900 in words is "five hundred thirty-four billion, one hundred thirty-four million, two hundred sixty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 59 60 70 75 84 100 105 118 140 150 175 177 210 236 295 300 350 354 413 420 525 590 700 708 826 885 1050 1180 1239 1475 1652 1770 2065 2100 2478 2950 3540 4130 4425 4956 5900 6195 8260 8850 10325 12390 17700 20650 24780 30975 41300 61950 123900 4311011 8622022 12933033 17244044 21555055 25866066 30177077 43110110 51732132 60354154 64665165 86220220 90531231 107775275 120708308 129330330 150885385 181062462 215550550 254349649 258660660 301770770 323325825 362124924 431101100 452656155 508699298 603541540 646651650 754426925 763048947 905312310 1017398596 1271748245 1293303300 1508853850 1526097894 1780447543 1810624620 2263280775 2543496490 3017707700 3052195788 3560895086 3815244735 4526561550 5086992980 5341342629 6358741225 7121790172 7630489470 8902237715 9053123100 10682685258 12717482450 15260978940 17804475430 19076223675 21365370516 25434964900 26706713145 35608950860 38152447350 44511188575 53413426290 76304894700 89022377150 106826852580 133533565725 178044754300 267067131450 534134262900