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212324642640 = 243251126808667
BaseRepresentation
bin1100010110111110001…
…0001110111101010000
3202022001021021101211100
43011233202032331100
511434320102031030
6241312433544400
721224413453515
oct3055742167520
9668037241740
10212324642640
11820567a8680
1235197115100
13170397cc126
14a3c2c8930c
1557ca470360
hex316f88ef50

212324642640 has 120 divisors (see below), whose sum is σ = 777880310688. Its totient is φ = 51472638720.

The previous prime is 212324642633. The next prime is 212324642659. The reversal of 212324642640 is 46246423212.

212324642640 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 4 + 6 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 212324642595 and 212324642604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13396414 + ... + 13412253.

Almost surely, 2212324642640 is an apocalyptic number.

212324642640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212324642640 is an abundant number, since it is smaller than the sum of its proper divisors (565555668048).

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

212324642640 is a wasteful number, since it uses less digits than its factorization.

212324642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26808697 (or 26808688 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 212324642640 in words is "two hundred twelve billion, three hundred twenty-four million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 26808667 53617334 80426001 107234668 134043335 160852002 214469336 241278003 268086670 294895337 321704004 402130005 428938672 482556006 536173340 589790674 643408008 804260010 884686011 965112012 1072346680 1179581348 1206390015 1286816016 1474476685 1608520020 1769372022 1930224024 2144693360 2359162696 2412780030 2654058033 2948953370 3217040040 3538744044 3860448048 4423430055 4718325392 4825560060 5308116066 5897906740 6434080080 7077488088 8846860110 9651120120 10616232132 11795813480 13270290165 14154976176 17693720220 19302240240 21232464264 23591626960 26540580330 35387440440 42464928528 53081160660 70774880880 106162321320 212324642640