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42105260564 = 22449103122739
BaseRepresentation
bin100111001101101010…
…110100101000010100
311000200101110212001222
4213031222310220110
51142212421314224
631202021505512
73020256544463
oct471552645024
9130611425058
1042105260564
111694735a504
1281b0b72298
133c80292983
1420760269da
15116673cb5e
hex9cdab4a14

42105260564 has 24 divisors (see below), whose sum is σ = 73923192000. Its totient is φ = 20984445440.

The previous prime is 42105260551. The next prime is 42105260567. The reversal of 42105260564 is 46506250124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105260567) 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, 1840307 + ... + 1863045.

It is an arithmetic number, because the mean of its divisors is an integer number (3080133000).

Almost surely, 242105260564 is an apocalyptic number.

It is an amenable number.

42105260564 is a deficient number, since it is larger than the sum of its proper divisors (31817931436).

42105260564 is a wasteful number, since it uses less digits than its factorization.

42105260564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 42105260564 in words is "forty-two billion, one hundred five million, two hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 4 449 898 1031 1796 2062 4124 22739 45478 90956 462919 925838 1851676 10209811 20419622 23443909 40839244 46887818 93775636 10526315141 21052630282 42105260564