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42845623110 = 2345389135979
BaseRepresentation
bin100111111001110011…
…000101001101000110
311002120222121011120000
4213321303011031012
51200221434414420
631403310222130
73044516534043
oct477163051506
9132528534500
1042845623110
1117197267884
128378ab4946
13406a794914
1421064aa1ca
1511ab734690
hex9f9cc5346

42845623110 has 80 divisors (see below), whose sum is σ = 115504131600. Its totient is φ = 11396044224.

The previous prime is 42845623109. The next prime is 42845623111. The reversal of 42845623110 is 1132654824.

It is a happy number.

42845623110 is a `hidden beast` number, since 4 + 2 + 84 + 562 + 3 + 1 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (42845623109) and next prime (42845623111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42845623111) 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 39 ways as a sum of consecutive naturals, for example, 247101 + ... + 383079.

It is an arithmetic number, because the mean of its divisors is an integer number (1443801645).

Almost surely, 242845623110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42845623110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57752065800).

42845623110 is an abundant number, since it is smaller than the sum of its proper divisors (72658508490).

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

42845623110 is a wasteful number, since it uses less digits than its factorization.

42845623110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136387 (or 136378 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42845623110 in words is "forty-two billion, eight hundred forty-five million, six hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 389 405 778 810 1167 1945 2334 3501 3890 5835 7002 10503 11670 17505 21006 31509 35010 52515 63018 105030 135979 157545 271958 315090 407937 679895 815874 1223811 1359790 2039685 2447622 3671433 4079370 6119055 7342866 11014299 12238110 18357165 22028598 36714330 52895831 55071495 105791662 110142990 158687493 264479155 317374986 476062479 528958310 793437465 952124958 1428187437 1586874930 2380312395 2856374874 4284562311 4760624790 7140937185 8569124622 14281874370 21422811555 42845623110