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6540442506 = 23213194914341
BaseRepresentation
bin1100001011101011…
…10011101110001010
3121212210222220102100
412011311303232022
5101343323130011
63001000214230
7321035562333
oct60565635612
917783886370
106540442506
112856a00294
12132646a376
13803040c30
144608d128a
152842ddd56
hex185d73b8a

6540442506 has 48 divisors (see below), whose sum is σ = 15269927400. Its totient is φ = 2011271040.

The previous prime is 6540442483. The next prime is 6540442543. The reversal of 6540442506 is 6052440456.

It can be written as a sum of positive squares in 4 ways, for example, as 3491746281 + 3048696225 = 59091^2 + 55215^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448896 + ... + 463236.

Almost surely, 26540442506 is an apocalyptic number.

6540442506 is an abundant number, since it is smaller than the sum of its proper divisors (8729484894).

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

6540442506 is a wasteful number, since it uses less digits than its factorization.

6540442506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6540442506 is about 80873.0023308149. The cubic root of 6540442506 is about 1870.1181453756.

The spelling of 6540442506 in words is "six billion, five hundred forty million, four hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1949 3898 5847 11694 14341 17541 25337 28682 35082 43023 50674 76011 86046 129069 152022 186433 228033 258138 372866 456066 559299 1118598 1677897 3355794 27950609 55901218 83851827 167703654 251555481 363357917 503110962 726715834 1090073751 2180147502 3270221253 6540442506