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42607109800 = 2352415195989
BaseRepresentation
bin100111101011100101…
…001110011010101000
311001222100210102210201
4213223211032122220
51144224410003200
631323510121544
73035562313003
oct475345163250
9131870712721
1042607109800
111708466a242
1283110502b4
134030244698
1420c294053a
15119581dc6a
hex9eb94e6a8

42607109800 has 48 divisors (see below), whose sum is σ = 101477684700. Its totient is φ = 16627161600.

The previous prime is 42607109791. The next prime is 42607109821. The reversal of 42607109800 is 890170624.

It can be written as a sum of positive squares in 6 ways, for example, as 10500920676 + 32106189124 = 102474^2 + 179182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42607109800.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2589795 + ... + 2606194.

Almost surely, 242607109800 is an apocalyptic number.

42607109800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42607109800 is an abundant number, since it is smaller than the sum of its proper divisors (58870574900).

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

42607109800 is a wasteful number, since it uses less digits than its factorization.

42607109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196046 (or 5196037 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 42607109800 in words is "forty-two billion, six hundred seven million, one hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 5195989 10391978 20783956 25979945 41567912 51959890 103919780 129899725 207839560 213035549 259799450 426071098 519598900 852142196 1039197800 1065177745 1704284392 2130355490 4260710980 5325888725 8521421960 10651777450 21303554900 42607109800