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327434245867876 = 227217317094471067
BaseRepresentation
bin100101001110011001011100…
…1111010011000100101100100
31120221100102000120120210000211
41022130302321322120211210
5320404140313420233001
63120221114351545204
7125653225565660500
oct11234627172304544
91527312016523024
10327434245867876
11953700a1665644
1230882b4a52b204
1311091bbc562944
145abdc8b36d300
1527cc4b2056351
hex129ccb9e98964

327434245867876 has 144 divisors (see below), whose sum is σ = 729566699742720. Its totient is φ = 127633553832960.

The previous prime is 327434245867867. The next prime is 327434245867921. The reversal of 327434245867876 is 678768542434723.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70998495 + ... + 75469561.

It is an arithmetic number, because the mean of its divisors is an integer number (5066435414880).

Almost surely, 2327434245867876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327434245867876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364783349871360).

327434245867876 is an abundant number, since it is smaller than the sum of its proper divisors (402132453874844).

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

327434245867876 is a wasteful number, since it uses less digits than its factorization.

327434245867876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471842 (or 4471833 counting only the distinct ones).

The product of its digits is 9103933440, while the sum is 76.

The spelling of 327434245867876 in words is "three hundred twenty-seven trillion, four hundred thirty-four billion, two hundred forty-five million, eight hundred sixty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 709 833 868 1054 1418 1519 1666 2108 2836 3038 3332 3689 4963 6076 7378 9926 12053 14756 19852 21979 24106 25823 34741 43958 48212 51646 69482 84371 87916 103292 138964 153853 168742 307706 337484 373643 590597 615412 747286 1076971 1181194 1494572 2153942 2362388 2615501 4307884 4471067 5231002 8942134 10462004 17884268 18308507 31297469 36617014 62594938 73234028 76008139 125189876 138603077 152016278 219082283 277206154 304032556 438164566 532056973 554412308 876329132 970221539 1064113946 1940443078 2128227892 2356252309 3169986503 3724398811 3880886156 4712504618 6339973006 6791550773 7448797622 9425009236 12679946012 13583101546 14897595244 16493766163 22189905521 27166203092 32987532326 44379811042 53889770551 65975064652 88759622084 98269581593 107779541102 115456363141 155329338647 196539163186 215559082204 230912726282 310658677294 377228393857 393078326372 461825452564 621317354588 687887071151 754456787714 1375774142302 1508913575428 1670582887081 2640598756999 2751548284604 3341165774162 4815209498057 5281197513998 6682331548324 9630418996114 10562395027996 11694080209567 19260837992228 23388160419134 46776320838268 81858561466969 163717122933938 327434245867876