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14333728820 = 22519214092
BaseRepresentation
bin11010101100101101…
…10101100000110100
31100222221102212110012
431112112311200310
5213323413310240
610330153315352
71015126453565
oct152626654064
940887385405
1014333728820
11609601a684
122940405b58
1314757b8c58
1499d94a16c
1558d5a5b65
hex3565b5834

14333728820 has 54 divisors (see below), whose sum is σ = 31791029382. Its totient is φ = 5427873792.

The previous prime is 14333728793. The next prime is 14333728831. The reversal of 14333728820 is 2882733341.

14333728820 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 3 ways, for example, as 1690525456 + 12643203364 = 41116^2 + 112442^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10172276 + ... + 10173684.

Almost surely, 214333728820 is an apocalyptic number.

14333728820 is a gapful number since it is divisible by the number (10) 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 14333728820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895514691).

14333728820 is an abundant number, since it is smaller than the sum of its proper divisors (17457300562).

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

14333728820 is an equidigital number, since it uses as much as digits as its factorization.

14333728820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 14333728820 in words is "fourteen billion, three hundred thirty-three million, seven hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1409 1444 1805 2818 3610 5636 7045 7220 14090 26771 28180 53542 107084 133855 267710 508649 535420 1017298 1985281 2034596 2543245 3970562 5086490 7941124 9926405 10172980 19852810 37720339 39705620 75440678 150881356 188601695 377203390 716686441 754406780 1433372882 2866745764 3583432205 7166864410 14333728820