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211244593014 = 232713253187177
BaseRepresentation
bin1100010010111100101…
…0001010111101110110
3202012020222222012021100
43010233022022331312
511430112103434024
6241013332430530
721155560262010
oct3045712127566
9665228865240
10211244593014
118165207a384
1234b35478446
1316bc6b15100
14a31d6611b0
15576572a7c9
hex312f28af76

211244593014 has 144 divisors (see below), whose sum is σ = 577104214752. Its totient is φ = 54661381632.

The previous prime is 211244593013. The next prime is 211244593033. The reversal of 211244593014 is 410395442112.

211244593014 is a `hidden beast` number, since 2 + 1 + 12 + 44 + 593 + 0 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 211244593014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211244593013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034994 + ... + 1222170.

It is an arithmetic number, because the mean of its divisors is an integer number (4007668158).

Almost surely, 2211244593014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211244593014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288552107376).

211244593014 is an abundant number, since it is smaller than the sum of its proper divisors (365859621738).

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

211244593014 is a wasteful number, since it uses less digits than its factorization.

211244593014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187271 (or 187255 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 211244593014 in words is "two hundred eleven billion, two hundred forty-four million, five hundred ninety-three thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 159 169 182 234 273 318 338 371 477 507 546 689 742 819 954 1014 1113 1183 1378 1521 1638 2067 2226 2366 3042 3339 3549 4134 4823 6201 6678 7098 8957 9646 10647 12402 14469 17914 21294 26871 28938 43407 53742 62699 80613 86814 125398 161226 187177 188097 374354 376194 561531 564291 1123062 1128582 1310239 1684593 2433301 2620478 3369186 3930717 4866602 7299903 7861434 9920381 11792151 14599806 17033107 19840762 21899709 23584302 29761143 31632913 34066214 43799418 51099321 59522286 63265826 69442667 89283429 94898739 102198642 128964953 138885334 153297963 178566858 189797478 208328001 221430391 257929906 284696217 306595926 386894859 416656002 442860782 569392434 624984003 664291173 773789718 902754671 1160684577 1249968006 1328582346 1676544389 1805509342 1992873519 2321369154 2708264013 3353088778 3985747038 5029633167 5416528026 8124792039 10059266334 11735810723 15088899501 16249584078 23471621446 30177799002 35207432169 70414864338 105622296507 211244593014