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216450213036486 = 2311132960114474323
BaseRepresentation
bin110001001101110000111110…
…000011110100000111000110
31001101101102211111122210000220
4301031300332003310013012
5211332310014014131421
62044203504413245210
763410004026111562
oct6115607603640706
91041342744583026
10216450213036486
1162a71024460680
1220339602493806
1393a1224025220
143b6436384c6a2
151a05577c8a3c6
hexc4dc3e0f41c6

216450213036486 has 128 divisors (see below), whose sum is σ = 526995083543040. Its totient is φ = 58360466304000.

The previous prime is 216450213036481. The next prime is 216450213036487. The reversal of 216450213036486 is 684630312054612.

It is a super-3 number, since 3×2164502130364863 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216450213036481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7716921 + ... + 22191243.

It is an arithmetic number, because the mean of its divisors is an integer number (4117149090180).

Almost surely, 2216450213036486 is an apocalyptic number.

216450213036486 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216450213036486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263497541771520).

216450213036486 is an abundant number, since it is smaller than the sum of its proper divisors (310544870506554).

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

216450213036486 is a wasteful number, since it uses less digits than its factorization.

216450213036486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474982.

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 216450213036486 in words is "two hundred sixteen trillion, four hundred fifty billion, two hundred thirteen million, thirty-six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 601 638 754 858 957 1131 1202 1803 1914 2262 3606 4147 6611 7813 8294 12441 13222 15626 17429 19833 23439 24882 34858 39666 46878 52287 85943 104574 171886 191719 226577 257829 383438 453154 515658 575157 679731 1150314 1359462 2492347 4984694 7477041 14474323 14954082 28948646 43422969 86845938 159217553 188166199 318435106 376332398 419755367 477652659 564498597 839510734 955305318 1128997194 1259266101 2069828189 2518532202 4139656378 4617309037 5456819771 6209484567 8699068123 9234618074 10913639542 12418969134 13851927111 16370459313 17398136246 26097204369 27703854222 32740918626 52194408738 60025017481 95689749353 113087885599 120050034962 180075052443 191379498706 226175771198 252272975567 287069248059 339263656797 360150104886 504545951134 574138496118 678527313594 756818926701 1243966741589 1513637853402 2487933483178 2775002731237 3279548682371 3731900224767 5550005462474 6559097364742 7463800449534 8325008193711 9838646047113 16650016387422 19677292094226 36075035506081 72150071012162 108225106518243 216450213036486