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164056740568 = 23717172328509
BaseRepresentation
bin1001100011001010001…
…0110011001011011000
3120200110101200220212121
42120302202303023120
510141442011144233
6203211105151024
714565323200120
oct2306242631330
9520411626777
10164056740568
1163637831416
122796632b474
1312616866826
147d245d7c80
154402bbe92d
hex26328b32d8

164056740568 has 32 divisors (see below), whose sum is σ = 372229581600. Its totient is φ = 66174147072.

The previous prime is 164056740563. The next prime is 164056740611. The reversal of 164056740568 is 865047650461.

164056740568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1640567405682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164056740563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86163303 + ... + 86165206.

It is an arithmetic number, because the mean of its divisors is an integer number (11632174425).

Almost surely, 2164056740568 is an apocalyptic number.

It is an amenable number.

164056740568 is an abundant number, since it is smaller than the sum of its proper divisors (208172841032).

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

164056740568 is a wasteful number, since it uses less digits than its factorization.

164056740568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172328539 (or 172328535 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 164056740568 in words is "one hundred sixty-four billion, fifty-six million, seven hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 172328509 344657018 689314036 1206299563 1378628072 2412599126 2929584653 4825198252 5859169306 9650396504 11718338612 20507092571 23436677224 41014185142 82028370284 164056740568