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168348327264 = 25331314988277
BaseRepresentation
bin1001110011001001010…
…1111001110101100000
3121002112111002010002000
42130302111321311200
510224234132433024
6205201012524000
715106554112515
oct2346225716540
9532474063060
10168348327264
116543a272a87
1228763620600
1312b4b9cb740
14821057130c
1545a4840cc9
hex2732579d60

168348327264 has 96 divisors (see below), whose sum is σ = 528786447840. Its totient is φ = 51799481856.

The previous prime is 168348327253. The next prime is 168348327313. The reversal of 168348327264 is 462723843861.

168348327264 is a `hidden beast` number, since 1 + 6 + 8 + 348 + 32 + 7 + 264 = 666.

168348327264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 168348327264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7482907 + ... + 7505370.

It is an arithmetic number, because the mean of its divisors is an integer number (5508192165).

Almost surely, 2168348327264 is an apocalyptic number.

It is an amenable number.

168348327264 is an abundant number, since it is smaller than the sum of its proper divisors (360438120576).

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

168348327264 is a wasteful number, since it uses less digits than its factorization.

168348327264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988309 (or 14988295 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 168348327264 in words is "one hundred sixty-eight billion, three hundred forty-eight million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 14988277 29976554 44964831 59953108 89929662 119906216 134894493 179859324 194847601 239812432 269788986 359718648 389695202 404683479 479624864 539577972 584542803 719437296 779390404 809366958 1079155944 1169085606 1438874592 1558780808 1618733916 1753628409 2158311888 2338171212 3117561616 3237467832 3507256818 4316623776 4676342424 5260885227 6235123232 6474935664 7014513636 9352684848 10521770454 12949871328 14029027272 18705369696 21043540908 28058054544 42087081816 56116109088 84174163632 168348327264