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217161640073142 = 232112922571473441
BaseRepresentation
bin110001011000000111100010…
…011010100101011110110110
31001110220110011002010210011200
4301120013202122211132312
5211430434014324320032
62045510402531513330
763512260612130022
oct6130074232453666
91043813132123150
10217161640073142
116321580947a016
1220433469a58846
139423340a062cb
143b8a972625382
151a18d1513647c
hexc581e26a57b6

217161640073142 has 48 divisors (see below), whose sum is σ = 470955501553680. Its totient is φ = 72319740134400.

The previous prime is 217161640073141. The next prime is 217161640073153. The reversal of 217161640073142 is 241370046161712.

217161640073142 is a `hidden beast` number, since 2 + 1 + 7 + 161 + 6 + 400 + 73 + 14 + 2 = 666.

217161640073142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2171616400731422 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217161640073141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458451142 + ... + 458924582.

It is an arithmetic number, because the mean of its divisors is an integer number (9811572949035).

Almost surely, 2217161640073142 is an apocalyptic number.

217161640073142 is an abundant number, since it is smaller than the sum of its proper divisors (253793861480538).

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

217161640073142 is a wasteful number, since it uses less digits than its factorization.

217161640073142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497149 (or 497146 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 217161640073142 in words is "two hundred seventeen trillion, one hundred sixty-one billion, six hundred forty million, seventy-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 1129 2258 3387 6774 10161 20322 22571 45142 67713 135426 203139 406278 473441 946882 1420323 2840646 4260969 8521938 25482659 50965318 76447977 152895954 229343931 458687862 534514889 1069029778 1603544667 3207089334 4810634001 9621268002 10686036811 21372073622 32058110433 64116220866 96174331299 192348662598 12064535559619 24129071119238 36193606678857 72387213357714 108580820036571 217161640073142