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216361665150066 = 23343113077112687
BaseRepresentation
bin110001001100011110100000…
…001100011011110001110010
31001101001222021110012002021000
4301030132200030123301302
5211324332142234300231
62044055102104542430
763400420521360402
oct6114364014336162
91041058243162230
10216361665150066
1162a37515492a57
122032440ba81a16
139395a81cc9b67
143b5dd6374a802
151a030e41496e6
hexc4c7a031bc72

216361665150066 has 64 divisors (see below), whose sum is σ = 482288043663360. Its totient is φ = 71898159669840.

The previous prime is 216361665150047. The next prime is 216361665150067. The reversal of 216361665150066 is 660051566163612.

216361665150066 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 6 + 1 + 66 + 515 + 0 + 0 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 216361665149994 and 216361665150021.

It is not an unprimeable number, because it can be changed into a prime (216361665150067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26862775 + ... + 33975461.

It is an arithmetic number, because the mean of its divisors is an integer number (7535750682240).

Almost surely, 2216361665150066 is an apocalyptic number.

216361665150066 is an abundant number, since it is smaller than the sum of its proper divisors (265926378513294).

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

216361665150066 is a wasteful number, since it uses less digits than its factorization.

216361665150066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114436 (or 7114430 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 216361665150066 in words is "two hundred sixteen trillion, three hundred sixty-one billion, six hundred sixty-five million, one hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 431 862 1293 1307 2586 2614 3879 3921 7758 7842 11637 11763 23274 23526 35289 70578 563317 1126634 1689951 3379902 5069853 7112687 10139706 14225374 15209559 21338061 30419118 42676122 64014183 128028366 192042549 384085098 3065568097 6131136194 9196704291 9296281909 18393408582 18592563818 27590112873 27888845727 55180225746 55777691454 82770338619 83666537181 165540677238 167333074362 250999611543 501999223086 4006697502779 8013395005558 12020092508337 24040185016674 36060277525011 72120555050022 108180832575033 216361665150066