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164301111144 = 23322459392789
BaseRepresentation
bin1001100100000100011…
…0111111111101101000
3120201002102112020021200
42121001012333331220
510142442041024034
6203251235004200
714604351254562
oct2310106777550
9521072466250
10164301111144
116375276a675
1227a14139660
1312655387ac1
147d48c4a332
154419390a99
hex26411bff68

164301111144 has 48 divisors (see below), whose sum is σ = 445005065700. Its totient is φ = 54764219904.

The previous prime is 164301111137. The next prime is 164301111187. The reversal of 164301111144 is 441111103461.

164301111144 is a `hidden beast` number, since 1 + 6 + 430 + 111 + 114 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127333358244 + 36967752900 = 356838^2 + 192270^2 .

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, 1724302 + ... + 1817090.

Almost surely, 2164301111144 is an apocalyptic number.

It is an amenable number.

164301111144 is an abundant number, since it is smaller than the sum of its proper divisors (280703954556).

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

164301111144 is a wasteful number, since it uses less digits than its factorization.

164301111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117394 (or 117387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 164301111144 in words is "one hundred sixty-four billion, three hundred one million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 24593 49186 73779 92789 98372 147558 185578 196744 221337 278367 295116 371156 442674 556734 590232 742312 835101 885348 1113468 1670202 1770696 2226936 3340404 6680808 2281959877 4563919754 6845879631 9127839508 13691759262 18255679016 20537638893 27383518524 41075277786 54767037048 82150555572 164301111144