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164469893895 = 325191621118669
BaseRepresentation
bin1001100100101100101…
…0110110101100000111
3120201112012010021200200
42121023022312230013
510143313243101040
6203320104341543
714611501013556
oct2311312665407
9521465107620
10164469893895
1163829a7064a
1227a607748b3
1312681332058
147d63423d9d
1544290d0630
hex264b2b6b07

164469893895 has 48 divisors (see below), whose sum is σ = 300273074400. Its totient is φ = 83048613120.

The previous prime is 164469893849. The next prime is 164469893899. The reversal of 164469893895 is 598398964461.

164469893895 is a `hidden beast` number, since 1 + 6 + 4 + 469 + 89 + 3 + 89 + 5 = 666.

164469893895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164469893895 - 217 = 164469762823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164469893899) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1326621 + ... + 1445289.

It is an arithmetic number, because the mean of its divisors is an integer number (6255689050).

Almost surely, 2164469893895 is an apocalyptic number.

164469893895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164469893895 is a deficient number, since it is larger than the sum of its proper divisors (135803180505).

164469893895 is a wasteful number, since it uses less digits than its factorization.

164469893895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120320 (or 120317 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 164469893895 in words is "one hundred sixty-four billion, four hundred sixty-nine million, eight hundred ninety-three thousand, eight hundred ninety-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 1621 4863 8105 14589 24315 30799 72945 92397 118669 153995 277191 356007 461985 593345 1068021 1385955 1780035 2254711 5340105 6764133 11273555 20292399 33820665 101461995 192362449 577087347 961812245 1731262041 2885436735 3654886531 8656310205 10964659593 18274432655 32893978779 54823297965 164469893895