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42004541533 = 411213844601
BaseRepresentation
bin100111000111101010…
…100111000001011101
311000102100221210112111
4213013222213001131
51142011130312113
631144023034021
73014624466133
oct470752470135
9130370853474
1042004541533
11168a5517839
12818329b911
133c65459b06
1420668c9753
15115c99513d
hex9c7aa705d

42004541533 has 8 divisors (see below), whose sum is σ = 43064566776. Its totient is φ = 40946208000.

The previous prime is 42004541489. The next prime is 42004541569. The reversal of 42004541533 is 33514540024.

It can be written as a sum of positive squares in 4 ways, for example, as 6201090009 + 35803451524 = 78747^2 + 189218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42004541533 - 213 = 42004533341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42004541495 and 42004541504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004541933) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 372568 + ... + 472033.

It is an arithmetic number, because the mean of its divisors is an integer number (5383070847).

Almost surely, 242004541533 is an apocalyptic number.

It is an amenable number.

42004541533 is a deficient number, since it is larger than the sum of its proper divisors (1060025243).

42004541533 is a wasteful number, since it uses less digits than its factorization.

42004541533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845855.

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 42004541533 in words is "forty-two billion, four million, five hundred forty-one thousand, five hundred thirty-three".

Divisors: 1 41 1213 49733 844601 34628641 1024501013 42004541533