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243065504106 = 23343199526027
BaseRepresentation
bin1110001001011111010…
…1010100000101101010
3212020101122121222002000
43202113311110011222
512440244232112411
6303355053151430
723363250460365
oct3422765240552
9766348558060
10243065504106
11940a115a907
123b13618b576
1319bc850c299
14ba9b8670dc
1564c913d956
hex3897d5416a

243065504106 has 64 divisors (see below), whose sum is σ = 555485568000. Its totient is φ = 78739779888.

The previous prime is 243065504069. The next prime is 243065504141. The reversal of 243065504106 is 601405560342.

243065504106 is a `hidden beast` number, since 2 + 43 + 0 + 6 + 5 + 504 + 106 = 666.

243065504106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 199065 + ... + 725091.

It is an arithmetic number, because the mean of its divisors is an integer number (8679462000).

Almost surely, 2243065504106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243065504106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277742784000).

243065504106 is an abundant number, since it is smaller than the sum of its proper divisors (312420063894).

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

243065504106 is a wasteful number, since it uses less digits than its factorization.

243065504106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526280 (or 526274 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 243065504106 in words is "two hundred forty-three billion, sixty-five million, five hundred four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 199 258 387 398 597 774 1161 1194 1791 2322 3582 5373 8557 10746 17114 25671 51342 77013 154026 231039 462078 526027 1052054 1578081 3156162 4734243 9468486 14202729 22619161 28405458 45238322 67857483 104679373 135714966 203572449 209358746 314038119 407144898 610717347 628076238 942114357 1221434694 1884228714 2826343071 4501213039 5652686142 9002426078 13503639117 27007278234 40510917351 81021834702 121532752053 243065504106