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212911348608 = 273472933633
BaseRepresentation
bin1100011001001010000…
…0010101101110000000
3202100120011021011010000
43012102200111232000
511442020301123413
6241450553040000
721245066413530
oct3062240255600
9670504234100
10212911348608
11823279a6542
123531b6b6000
1317101221a1a
14a43ab714c0
155811c14073
hex3192815b80

212911348608 has 160 divisors (see below), whose sum is σ = 724138216560. Its totient is φ = 60831793152.

The previous prime is 212911348579. The next prime is 212911348613. The reversal of 212911348608 is 806843119212.

212911348608 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 1 + 1 + 34 + 8 + 608 = 666.

212911348608 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1394241 + ... + 1539392.

Almost surely, 2212911348608 is an apocalyptic number.

212911348608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212911348608 is an abundant number, since it is smaller than the sum of its proper divisors (511226867952).

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

212911348608 is an equidigital number, since it uses as much as digits as its factorization.

212911348608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933666 (or 2933645 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 212911348608 in words is "two hundred twelve billion, nine hundred eleven million, three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 2933633 5867266 8800899 11734532 17601798 20535431 23469064 26402697 35203596 41070862 46938128 52805394 61606293 70407192 79208091 82141724 93876256 105610788 123212586 140814384 158416182 164283448 184818879 187752512 211221576 237624273 246425172 281628768 316832364 328566896 369637758 375505024 422443152 475248546 492850344 554456637 563257536 633664728 657133792 739275516 844886304 950497092 985700688 1108913274 1126515072 1267329456 1314267584 1478551032 1663369911 1689772608 1900994184 1971401376 2217826548 2534658912 2628535168 2957102064 3326739822 3379545216 3801988368 3942802752 4435653096 5069317824 5914204128 6653479644 7603976736 7885605504 8871306192 10138635648 11828408256 13306959288 15207953472 17742612384 23656816512 26613918576 30415906944 35485224768 53227837152 70970449536 106455674304 212911348608