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42033005200 = 2452105082513
BaseRepresentation
bin100111001001010111…
…001100001010010000
311000111100111220100101
4213021113030022100
51142040422131300
631150521102144
73015421435444
oct471127141220
9130440456311
1042033005200
111690a598a2a
128190927954
133c6b314714
14206a5b8824
151160218b6a
hex9c95cc290

42033005200 has 30 divisors (see below), whose sum is σ = 100984295954. Its totient is φ = 16813201920.

The previous prime is 42033005197. The next prime is 42033005213. The reversal of 42033005200 is 250033024.

It can be written as a sum of positive squares in 3 ways, for example, as 14166712576 + 27866292624 = 119024^2 + 166932^2 .

It is a super-2 number, since 2×420330052002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52540857 + ... + 52541656.

Almost surely, 242033005200 is an apocalyptic number.

42033005200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42033005200 is an abundant number, since it is smaller than the sum of its proper divisors (58951290754).

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

42033005200 is a wasteful number, since it uses less digits than its factorization.

42033005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105082531 (or 105082520 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

Adding to 42033005200 its reverse (250033024), we get a palindrome (42283038224).

The spelling of 42033005200 in words is "forty-two billion, thirty-three million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105082513 210165026 420330052 525412565 840660104 1050825130 1681320208 2101650260 2627062825 4203300520 5254125650 8406601040 10508251300 21016502600 42033005200