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211011694912032 = 2537615147631121
BaseRepresentation
bin101111111110100111111101…
…000111100110001000100000
31000200010112001211022211012220
4233332213331013212020200
5210124203422344141112
62024441233455351040
762306043336564450
oct5776477507461040
91020115054284186
10211011694912032
1161264614794813
121b7bb591822480
139098418587b11
143a1704047bd60
15195dd7230298c
hexbfe9fd1e6220

211011694912032 has 96 divisors (see below), whose sum is σ = 643412709201024. Its totient is φ = 59300710502400.

The previous prime is 211011694912019. The next prime is 211011694912033. The reversal of 211011694912032 is 230219496110112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (211011694912033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573774569 + ... + 2573856552.

It is an arithmetic number, because the mean of its divisors is an integer number (6702215720844).

Almost surely, 2211011694912032 is an apocalyptic number.

It is an amenable number.

211011694912032 is an abundant number, since it is smaller than the sum of its proper divisors (432401014288992).

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

211011694912032 is a wasteful number, since it uses less digits than its factorization.

211011694912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147631202 (or 5147631194 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 211011694912032 in words is "two hundred eleven trillion, eleven billion, six hundred ninety-four million, nine hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 5147631121 10295262242 15442893363 20590524484 30885786726 36033417847 41181048968 61771573452 72066835694 82362097936 108100253541 123543146904 144133671388 164724195872 216200507082 247086293808 288267342776 314005498381 432401014164 494172587616 576534685552 628010996762 864802028328 942016495143 1153069371104 1256021993524 1729604056656 1884032990286 2198038488667 2512043987048 3459208113312 3768065980572 4396076977334 5024087974096 6594115466001 7536131961144 8792153954668 10048175948192 13188230932002 15072263922288 17584307909336 26376461864004 30144527844576 35168615818672 52752923728008 70337231637344 105505847456016 211011694912032