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428055550824 = 233112617619573
BaseRepresentation
bin1100011101010100001…
…10010101101101101000
31111220212221001000112210
412032222012111231220
524003124210111244
6524351312005120
742632421101556
oct6165206255550
91456787030483
10428055550824
111555a0220a40
126ab62b307a0
1331499c08ba5
1416a0a292bd6
15b2049844b9
hex63aa195b68

428055550824 has 64 divisors (see below), whose sum is σ = 1167872207040. Its totient is φ = 129664028160.

The previous prime is 428055550801. The next prime is 428055550829.

428055550824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (428055550829) 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, 381102 + ... + 1000674.

It is an arithmetic number, because the mean of its divisors is an integer number (18248003235).

Almost surely, 2428055550824 is an apocalyptic number.

428055550824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428055550824 is an abundant number, since it is smaller than the sum of its proper divisors (739816656216).

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

428055550824 is a wasteful number, since it uses less digits than its factorization.

428055550824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622210 (or 622206 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 48.

It can be divided in two parts, 428055 and 550824, that added together give a palindrome (978879).

The spelling of 428055550824 in words is "four hundred twenty-eight billion, fifty-five million, five hundred fifty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2617 5234 7851 10468 15702 20936 28787 31404 57574 62808 86361 115148 172722 230296 345444 619573 690888 1239146 1858719 2478292 3717438 4956584 6815303 7434876 13630606 14869752 20445909 27261212 40891818 54522424 81783636 163567272 1621422541 3242845082 4864267623 6485690164 9728535246 12971380328 17835647951 19457070492 35671295902 38914140984 53506943853 71342591804 107013887706 142685183608 214027775412 428055550824