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216215203436512 = 2574170327334759
BaseRepresentation
bin110001001010010110000110…
…011001010101011111100000
31001100112222020021122010220121
4301022112012121111133200
5211314432214034432022
62043503520534050024
763354014205346150
oct6112260631253740
91040488207563817
10216215203436512
1162990397691885
12202bbb561a9914
139385010800927
143b56c2bc82760
1519ee3c0edb2c7
hexc4a5866557e0

216215203436512 has 96 divisors (see below), whose sum is σ = 498358251095040. Its totient is φ = 90402013854720.

The previous prime is 216215203436443. The next prime is 216215203436527. The reversal of 216215203436512 is 215634302512612.

It is a super-2 number, since 2×2162152034365122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645715789 + ... + 646050547.

It is an arithmetic number, because the mean of its divisors is an integer number (5191231782240).

Almost surely, 2216215203436512 is an apocalyptic number.

It is an amenable number.

216215203436512 is an abundant number, since it is smaller than the sum of its proper divisors (282143047658528).

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

216215203436512 is a wasteful number, since it uses less digits than its factorization.

216215203436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405144 (or 405136 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 216215203436512 in words is "two hundred sixteen trillion, two hundred fifteen billion, two hundred three million, four hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 70327 140654 281308 334759 492289 562616 669518 984578 1125232 1339036 1969156 2250464 2343313 2678072 2883407 3938312 4686626 5356144 5766814 7876624 9373252 10712288 11533628 13725119 15753248 18746504 20183849 23067256 27450238 37493008 40367698 46134512 54900476 74986016 80735396 92269024 96075833 109800952 161470792 192151666 219601904 322941584 384303332 439203808 645883168 768606664 1537213328 3074426656 23542596193 47085192386 94170384772 164798173351 188340769544 329596346702 376681539088 659192693404 753363078176 965246443913 1318385386808 1930492887826 2636770773616 3860985775652 5273541547232 6756725107391 7721971551304 13513450214782 15443943102608 27026900429564 30887886205216 54053800859128 108107601718256 216215203436512