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202012343424 = 2732313560249
BaseRepresentation
bin1011110000100011011…
…1111011110010000000
3201022102120212022201100
42330020313323302000
511302210124442144
6232445253334400
720411024405313
oct2741067736200
9638376768640
10202012343424
1178744779641
1233199637400
13160851c8928
149ac547097a
1553c4e74269
hex2f08dfbc80

202012343424 has 96 divisors (see below), whose sum is σ = 583169827500. Its totient is φ = 67122192384.

The previous prime is 202012343399. The next prime is 202012343453. The reversal of 202012343424 is 424343210202.

202012343424 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 234 + 3 + 424 = 666.

202012343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119854440000 + 82157903424 = 346200^2 + 286632^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2020123434242 (a number of 23 digits) contains 22 as substring.

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, 80452 + ... + 640700.

Almost surely, 2202012343424 is an apocalyptic number.

202012343424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291584913750).

202012343424 is an abundant number, since it is smaller than the sum of its proper divisors (381157484076).

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

202012343424 is a wasteful number, since it uses less digits than its factorization.

202012343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560582 (or 560567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 202012343424 its reverse (424343210202), we get a palindrome (626355553626).

The spelling of 202012343424 in words is "two hundred two billion, twelve million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 313 384 576 626 939 1152 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 20032 22536 30048 40064 45072 60096 90144 120192 180288 360576 560249 1120498 1680747 2240996 3361494 4481992 5042241 6722988 8963984 10084482 13445976 17927968 20168964 26891952 35855936 40337928 53783904 71711872 80675856 107567808 161351712 175357937 215135616 322703424 350715874 526073811 645406848 701431748 1052147622 1402863496 1578221433 2104295244 2805726992 3156442866 4208590488 5611453984 6312885732 8417180976 11222907968 12625771464 16834361952 22445815936 25251542928 33668723904 50503085856 67337447808 101006171712 202012343424