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642261105 = 325174120477
BaseRepresentation
bin100110010010000…
…010000001110001
31122202112020121100
4212102002001301
52303404323410
6143421515013
721626062233
oct4622020161
91582466540
10642261105
112aa5a3302
1215b112a69
13a30a4675
1461428253
153b5b98c0
hex26482071

642261105 has 48 divisors (see below), whose sum is σ = 1207546704. Its totient is φ = 314511360.

The previous prime is 642261097. The next prime is 642261119. The reversal of 642261105 is 501162246.

642261105 is a `hidden beast` number, since 6 + 42 + 2 + 611 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1766241 + 640494864 = 1329^2 + 25308^2 .

It is not a de Polignac number, because 642261105 - 23 = 642261097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21127 + ... + 41603.

It is an arithmetic number, because the mean of its divisors is an integer number (25157223).

Almost surely, 2642261105 is an apocalyptic number.

It is an amenable number.

642261105 is a deficient number, since it is larger than the sum of its proper divisors (565285599).

642261105 is a wasteful number, since it uses less digits than its factorization.

642261105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20546 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 642261105 is about 25342.8708910415. The cubic root of 642261105 is about 862.7875588112.

The spelling of 642261105 in words is "six hundred forty-two million, two hundred sixty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1845 2091 3485 6273 10455 20477 31365 61431 102385 184293 307155 348109 839557 921465 1044327 1740545 2518671 3132981 4197785 5221635 7556013 12593355 14272469 15664905 37780065 42817407 71362345 128452221 214087035 642261105