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42531532004 = 22136417971601
BaseRepresentation
bin100111100111000100…
…111010110011100100
311001210002120200120002
4213213010322303210
51144101033011004
631312210200432
73033654025403
oct474704726344
9131702520502
1042531532004
1117045a39555
1282ab883118
13401a6a20b0
1420b68a963a
15118dd9061e
hex9e713ace4

42531532004 has 48 divisors (see below), whose sum is σ = 80431562736. Its totient is φ = 19562496000.

The previous prime is 42531531983. The next prime is 42531532009. The reversal of 42531532004 is 40023513524.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6416330404 + 36115201600 = 80102^2 + 190040^2 .

It is not an unprimeable number, because it can be changed into a prime (42531532009) 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 15 ways as a sum of consecutive naturals, for example, 26564804 + ... + 26566404.

It is an arithmetic number, because the mean of its divisors is an integer number (1675657557).

Almost surely, 242531532004 is an apocalyptic number.

It is an amenable number.

42531532004 is a deficient number, since it is larger than the sum of its proper divisors (37900030732).

42531532004 is a wasteful number, since it uses less digits than its factorization.

42531532004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 42531532004 in words is "forty-two billion, five hundred thirty-one million, five hundred thirty-two thousand, four".

Divisors: 1 2 4 13 26 52 641 797 1282 1594 1601 2564 3188 3202 6404 8333 10361 16666 20722 20813 33332 41444 41626 83252 510877 1021754 1026241 1275997 2043508 2052482 2551994 4104964 5103988 6641401 13282802 13341133 16587961 26565604 26682266 33175922 53364532 66351844 817914077 1635828154 3271656308 10632883001 21265766002 42531532004