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320055242166 = 237112604729
BaseRepresentation
bin1001010100001001100…
…01110110110110110110
31010121010012101220000000
410222010301312312312
520220433120222131
6403010434332130
732060160446202
oct4520461666666
91117105356000
10320055242166
11113809927600
1252041a2a046
1324247aa89ca
14116c28c7b02
1584d31dcce6
hex4a84c76db6

320055242166 has 96 divisors (see below), whose sum is σ = 791422245600. Its totient is φ = 96986276640.

The previous prime is 320055242137. The next prime is 320055242173. The reversal of 320055242166 is 661242550023.

320055242166 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 552 + 42 + 1 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320055242166.

It is a congruent 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, 226890 + ... + 831618.

It is an arithmetic number, because the mean of its divisors is an integer number (8243981725).

Almost surely, 2320055242166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320055242166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395711122800).

320055242166 is an abundant number, since it is smaller than the sum of its proper divisors (471367003434).

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

320055242166 is an equidigital number, since it uses as much as digits as its factorization.

320055242166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604774 (or 604745 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 320055242166 its reverse (661242550023), we get a palindrome (981297792189).

The spelling of 320055242166 in words is "three hundred twenty billion, fifty-five million, two hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 729 891 1089 1458 1782 2178 2187 2673 3267 4374 5346 6534 8019 9801 16038 19602 24057 29403 48114 58806 88209 176418 264627 529254 604729 1209458 1814187 3628374 5442561 6652019 10885122 13304038 16327683 19956057 32655366 39912114 48983049 59868171 73172209 97966098 119736342 146344418 146949147 179604513 219516627 293898294 359209026 439033254 440847441 538813539 658549881 881694882 1077627078 1317099762 1322542323 1616440617 1975649643 2645084646 3232881234 3951299286 4849321851 5926948929 9698643702 11853897858 14547965553 17780846787 29095931106 35561693574 53342540361 106685080722 160027621083 320055242166