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42564067530 = 23567193109721
BaseRepresentation
bin100111101001000001…
…000010000011001010
311001212100210122220120
4213221001002003022
51144132400130110
631315331404110
73034530414225
oct475101020312
9131770718816
1042564067530
1117062340a16
1282ba753636
13402435419a
1420bad385bc
151191b6a870
hex9e90420ca

42564067530 has 64 divisors (see below), whose sum is σ = 104216588928. Its totient is φ = 11122974720.

The previous prime is 42564067529. The next prime is 42564067603. The reversal of 42564067530 is 3576046524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333070 + ... + 442790.

It is an arithmetic number, because the mean of its divisors is an integer number (1628384202).

Almost surely, 242564067530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42564067530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52108294464).

42564067530 is an abundant number, since it is smaller than the sum of its proper divisors (61652521398).

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

42564067530 is a wasteful number, since it uses less digits than its factorization.

42564067530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109991.

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 42564067530 in words is "forty-two billion, five hundred sixty-four million, sixty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 193 201 335 386 402 579 670 965 1005 1158 1930 2010 2895 5790 12931 25862 38793 64655 77586 109721 129310 193965 219442 329163 387930 548605 658326 1097210 1645815 3291630 7351307 14702614 21176153 22053921 36756535 42352306 44107842 63528459 73513070 105880765 110269605 127056918 211761530 220539210 317642295 635284590 1418802251 2837604502 4256406753 7094011255 8512813506 14188022510 21282033765 42564067530