Search a number
-
+
428019292169 = 7127701733937
BaseRepresentation
bin1100011101001111111…
…00000001100000001001
31111220210101210220000122
412032213330001200021
524003040414322134
6524343534513025
742631500645320
oct6164774014011
91456711726018
10428019292169
11155581806307
126ab52965775
1331492552271
1416a055350b7
15b2016c102e
hex63a7f01809

428019292169 has 32 divisors (see below), whose sum is σ = 494921097216. Its totient is φ = 362582438400.

The previous prime is 428019292159. The next prime is 428019292193. The reversal of 428019292169 is 961292910824.

It is a de Polignac number, because none of the positive numbers 2k-428019292169 is a prime.

It is a super-2 number, since 2×4280192921692 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 428019292169.

It is not an unprimeable number, because it can be changed into a prime (428019292139) 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 31 ways as a sum of consecutive naturals, for example, 456797069 + ... + 456798005.

It is an arithmetic number, because the mean of its divisors is an integer number (15466284288).

Almost surely, 2428019292169 is an apocalyptic number.

It is an amenable number.

428019292169 is a deficient number, since it is larger than the sum of its proper divisors (66901805047).

428019292169 is a wasteful number, since it uses less digits than its factorization.

428019292169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 428019292169 in words is "four hundred twenty-eight billion, nineteen million, two hundred ninety-two thousand, one hundred sixty-nine".

Divisors: 1 7 127 701 733 889 937 4907 5131 6559 89027 93091 118999 513833 623189 651637 656837 686821 832993 3596831 4597859 4807747 65256791 83418299 87226267 456797537 481461521 583928093 610583869 3370230647 61145613167 428019292169