Search a number
-
+
433340900009 = 1726727778059
BaseRepresentation
bin1100100111001010010…
…00010110001010101001
31112102112021100120121022
412103211020112022221
524044440232300014
6531023555222225
743210406606063
oct6234510261251
91472467316538
10433340900009
11157862706016
126bb98ba7975
1331b2cc05b44
1416d8c1d2733
15b4139a3a8e
hex64e52162a9

433340900009 has 24 divisors (see below), whose sum is σ = 467427835680. Its totient is φ = 401568431616.

The previous prime is 433340899987. The next prime is 433340900059. The reversal of 433340900009 is 900009043334.

It is not a de Polignac number, because 433340900009 - 212 = 433340895913 is a prime.

It is a super-2 number, since 2×4333409000092 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (433340900059) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53767022 + ... + 53775080.

It is an arithmetic number, because the mean of its divisors is an integer number (19476159820).

Almost surely, 2433340900009 is an apocalyptic number.

It is an amenable number.

433340900009 is a deficient number, since it is larger than the sum of its proper divisors (34086935671).

433340900009 is a wasteful number, since it uses less digits than its factorization.

433340900009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 433340900009 in words is "four hundred thirty-three billion, three hundred forty million, nine hundred thousand, nine".

Divisors: 1 17 67 289 1139 2777 8059 19363 47209 137003 186059 539953 802553 2329051 3163003 9179201 22379843 53771051 156046417 380457331 1499449481 6467774627 25490641177 433340900009