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209130372903672 = 2332111670315808747
BaseRepresentation
bin101111100011001111110101…
…100101101011001011111000
31000102110200001021001121012200
4233203033311211223023320
5204402343000430404142
62020441100023510200
762023112411426133
oct5743176545531370
91012420037047180
10209130372903672
11606a9769539660
121b556a4a8b8360
138c8cba936854c
14398dd6d52521a
151929e631de64c
hexbe33f596b2f8

209130372903672 has 96 divisors (see below), whose sum is σ = 617922224225280. Its totient is φ = 63369042166080.

The previous prime is 209130372903671. The next prime is 209130372903743. The reversal of 209130372903672 is 276309273031902.

209130372903672 is a `hidden beast` number, since 2 + 0 + 91 + 3 + 0 + 372 + 90 + 36 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209130372903671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5324403 + ... + 21133149.

It is an arithmetic number, because the mean of its divisors is an integer number (6436689835680).

Almost surely, 2209130372903672 is an apocalyptic number.

209130372903672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

209130372903672 is an abundant number, since it is smaller than the sum of its proper divisors (408791851321608).

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

209130372903672 is a wasteful number, since it uses less digits than its factorization.

209130372903672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825473 (or 15825466 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 209130372903672 in words is "two hundred nine trillion, one hundred thirty billion, three hundred seventy-two million, nine hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 16703 33406 50109 66812 100218 133624 150327 183733 200436 300654 367466 400872 551199 601308 734932 1102398 1202616 1469864 1653597 2204796 3307194 4409592 6614388 13228776 15808747 31617494 47426241 63234988 94852482 126469976 142278723 173896217 189704964 284557446 347792434 379409928 521688651 569114892 695584868 1043377302 1138229784 1391169736 1565065953 2086754604 3130131906 4173509208 6260263812 12520527624 264053501141 528107002282 792160503423 1056214004564 1584321006846 2112428009128 2376481510269 2904588512551 3168642013692 4752963020538 5809177025102 6337284027384 8713765537653 9505926041076 11618354050204 17427531075306 19011852082152 23236708100408 26141296612959 34855062150612 52282593225918 69710124301224 104565186451836 209130372903672