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5325006600 = 23325213921283
BaseRepresentation
bin1001111010110010…
…10010011100001000
3111202002221100210200
410331121102130020
541401200202400
62240221212200
7245646544404
oct47531223410
914662840720
105325006600
112292911301
121047401060
1366b2a38a4
14387304104
15212754b00
hex13d652708

5325006600 has 144 divisors (see below), whose sum is σ = 18012649200. Its totient is φ = 1409719680.

The previous prime is 5325006559. The next prime is 5325006601. The reversal of 5325006600 is 66005235.

5325006600 is a `hidden beast` number, since 5 + 3 + 2 + 50 + 0 + 6 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (5325006601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239559 + ... + 260841.

Almost surely, 25325006600 is an apocalyptic number.

5325006600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006324600).

5325006600 is an abundant number, since it is smaller than the sum of its proper divisors (12687642600).

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

5325006600 is a wasteful number, since it uses less digits than its factorization.

5325006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5325006600 is about 72972.6428190730. The cubic root of 5325006600 is about 1746.2511969176.

The spelling of 5325006600 in words is "five billion, three hundred twenty-five million, six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 139 150 180 200 225 278 300 360 417 450 556 600 695 834 900 1112 1251 1390 1668 1800 2085 2502 2780 3336 3475 4170 5004 5560 6255 6950 8340 10008 10425 12510 13900 16680 20850 21283 25020 27800 31275 41700 42566 50040 62550 63849 83400 85132 106415 125100 127698 170264 191547 212830 250200 255396 319245 383094 425660 510792 532075 638490 766188 851320 957735 1064150 1276980 1532376 1596225 1915470 2128300 2553960 2958337 3192450 3830940 4256600 4788675 5916674 6384900 7661880 8875011 9577350 11833348 12769800 14791685 17750022 19154700 23666696 26625033 29583370 35500044 38309400 44375055 53250066 59166740 71000088 73958425 88750110 106500132 118333480 133125165 147916850 177500220 213000264 221875275 266250330 295833700 355000440 443750550 532500660 591667400 665625825 887501100 1065001320 1331251650 1775002200 2662503300 5325006600