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214381823488668 = 223211541368241133
BaseRepresentation
bin110000101111101010101000…
…011011110111001010011100
31001010001200221212210221021100
4300233222220123313022130
5211044412433303114133
62035541352231033100
763104401303045653
oct6057525033671234
91033050855727240
10214381823488668
1162343903489340
1220064772b0b790
139281171b9b8c4
143ad21c81dc19a
1519bb86ac62e13
hexc2faa86f729c

214381823488668 has 36 divisors (see below), whose sum is σ = 591174119318328. Its totient is φ = 64964188935840.

The previous prime is 214381823488631. The next prime is 214381823488691. The reversal of 214381823488668 is 866884328183412.

214381823488668 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 1 + 82 + 3 + 488 + 6 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2143818234886683 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214381823488596 and 214381823488605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270684120171 + ... + 270684120962.

It is an arithmetic number, because the mean of its divisors is an integer number (16421503314398).

Almost surely, 2214381823488668 is an apocalyptic number.

It is an amenable number.

214381823488668 is an abundant number, since it is smaller than the sum of its proper divisors (376792295829660).

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

214381823488668 is a wasteful number, since it uses less digits than its factorization.

214381823488668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541368241154 (or 541368241149 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 214381823488668 in words is "two hundred fourteen trillion, three hundred eighty-one billion, eight hundred twenty-three million, four hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 541368241133 1082736482266 1624104723399 2165472964532 3248209446798 4872314170197 5955050652463 6496418893596 9744628340394 11910101304926 17865151957389 19489256680788 23820202609852 35730303914778 53595455872167 71460607829556 107190911744334 214381823488668