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20434446228 = 2237277878221
BaseRepresentation
bin10011000001111111…
…001110011110010100
31221202010000102102210
4103001333032132110
5313322204234403
613215405033420
71322245632660
oct230177163624
957663012383
1020434446228
118736791999
123b63555870
131c086b9c01
14dbbc958a0
157e8e85b03
hex4c1fce794

20434446228 has 48 divisors (see below), whose sum is σ = 54688640384. Its totient is φ = 5817329280.

The previous prime is 20434446203. The next prime is 20434446229. The reversal of 20434446228 is 82264443402.

It is a super-3 number, since 3×204344462283 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434446229) 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 15 ways as a sum of consecutive naturals, for example, 415843 + ... + 462378.

Almost surely, 220434446228 is an apocalyptic number.

20434446228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20434446228 is an abundant number, since it is smaller than the sum of its proper divisors (34254194156).

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

20434446228 is a wasteful number, since it uses less digits than its factorization.

20434446228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878512 (or 878510 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 20434446228 in words is "twenty billion, four hundred thirty-four million, four hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 5817 7756 11634 23268 878221 1756442 2634663 3512884 5269326 6147547 10538652 12295094 18442641 24590188 36885282 73770564 243267217 486534434 729801651 973068868 1459603302 1702870519 2919206604 3405741038 5108611557 6811482076 10217223114 20434446228