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42655156060 = 225114111234211
BaseRepresentation
bin100111101110011100…
…100000011101011100
311002002201012102212211
4213232130200131130
51144324204443220
631332344010204
73040014562366
oct475634403534
9132081172784
1042655156060
11170a97a60a0
128325160964
13403a19771a
1420c9089d36
151199b5eb5a
hex9ee72075c

42655156060 has 96 divisors (see below), whose sum is σ = 100215408384. Its totient is φ = 15115584000.

The previous prime is 42655156057. The next prime is 42655156067. The reversal of 42655156060 is 6065155624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42655156067) 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 31 ways as a sum of consecutive naturals, for example, 10127355 + ... + 10131565.

It is an arithmetic number, because the mean of its divisors is an integer number (1043910504).

Almost surely, 242655156060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42655156060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50107704192).

42655156060 is an abundant number, since it is smaller than the sum of its proper divisors (57560252324).

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

42655156060 is a wasteful number, since it uses less digits than its factorization.

42655156060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 42655156060 in words is "forty-two billion, six hundred fifty-five million, one hundred fifty-six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1123 1804 2246 2255 4211 4492 4510 5615 8422 9020 11230 12353 16844 21055 22460 24706 42110 46043 46321 49412 61765 84220 92086 92642 123530 172651 184172 185284 230215 231605 247060 345302 460430 463210 506473 690604 863255 920860 926420 1012946 1726510 1899161 2025892 2532365 3453020 3798322 4728953 5064730 7596644 9457906 9495805 10129460 18915812 18991610 23644765 37983220 47289530 52018483 94579060 104036966 193887073 208073932 260092415 387774146 520184830 775548292 969435365 1040369660 1938870730 2132757803 3877741460 4265515606 8531031212 10663789015 21327578030 42655156060