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55434330224 = 24713295312893
BaseRepresentation
bin110011101000001001…
…001100000001110000
312022002022110202020122
4303220021030001300
51402012142031344
641244410025412
74001500014050
oct635011140160
9168068422218
1055434330224
1121567263859
12a8b0a18268
1352c589cb40
14297c371560
1516969e1aee
hexce824c070

55434330224 has 80 divisors (see below), whose sum is σ = 132244577472. Its totient is φ = 21920937984.

The previous prime is 55434330197. The next prime is 55434330229. The reversal of 55434330224 is 42203343455.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55434330229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4293122 + ... + 4306014.

Almost surely, 255434330224 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 55434330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66122288736).

55434330224 is an abundant number, since it is smaller than the sum of its proper divisors (76810247248).

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

55434330224 is a wasteful number, since it uses less digits than its factorization.

55434330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 55434330224 its reverse (42203343455), we get a palindrome (97637673679).

The spelling of 55434330224 in words is "fifty-five billion, four hundred thirty-four million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2953 5906 11812 12893 20671 23624 25786 38389 41342 47248 51572 76778 82684 90251 103144 153556 165368 167609 180502 206288 268723 307112 330736 335218 361004 537446 614224 670436 722008 1074892 1173263 1340872 1444016 2149784 2346526 2681744 4299568 4693052 9386104 18772208 38073029 76146058 152292116 266511203 304584232 494949377 533022406 609168464 989898754 1066044812 1979797508 2132089624 3464645639 3959595016 4264179248 6929291278 7919190032 13858582556 27717165112 55434330224