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164560322346 = 23729491275167
BaseRepresentation
bin1001100101000010001…
…1110011111100101010
3120201202111021112012120
42121100203303330222
510144004420303341
6203333054452110
714613646442430
oct2312043637452
9521674245176
10164560322346
1163876014902
1227a86b04036
1312696ca4004
147d71442d50
154431ee4066
hex26508f3f2a

164560322346 has 64 divisors (see below), whose sum is σ = 389902049280. Its totient is φ = 45303330240.

The previous prime is 164560322327. The next prime is 164560322389. The reversal of 164560322346 is 643223065461.

It is a happy number.

164560322346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 164560322298 and 164560322307.

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 31 ways as a sum of consecutive naturals, for example, 460455 + ... + 735621.

It is an arithmetic number, because the mean of its divisors is an integer number (6092219520).

Almost surely, 2164560322346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164560322346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194951024640).

164560322346 is an abundant number, since it is smaller than the sum of its proper divisors (225341726934).

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

164560322346 is a wasteful number, since it uses less digits than its factorization.

164560322346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275699.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 164560322346 in words is "one hundred sixty-four billion, five hundred sixty million, three hundred twenty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 491 609 982 1218 1473 2946 3437 6874 10311 14239 20622 28478 42717 85434 99673 199346 275167 299019 550334 598038 825501 1651002 1926169 3852338 5778507 7979843 11557014 15959686 23939529 47879058 55858901 111717802 135106997 167576703 270213994 335153406 405320991 810641982 945748979 1891497958 2837246937 3918102913 5674493874 7836205826 11754308739 23508617478 27426720391 54853440782 82280161173 164560322346