Search a number
-
+
16257340393 = 72834578747
BaseRepresentation
bin11110010010000001…
…10101001111101001
31112222000001110110021
433021000311033221
5231243334343033
611245111120441
71113605053600
oct171100651751
945860043407
1016257340393
116992932508
123198673121
1316c1198a58
14b031dca37
156523c9b2d
hex3c90353e9

16257340393 has 24 divisors (see below), whose sum is σ = 19183524192. Its totient is φ = 13735278144.

The previous prime is 16257340391. The next prime is 16257340409. The reversal of 16257340393 is 39304375261.

It is a happy number.

16257340393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16257340393 - 21 = 16257340391 is a prime.

It is a super-2 number, since 2×162573403932 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16257340391) 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, 1854246 + ... + 1862992.

It is an arithmetic number, because the mean of its divisors is an integer number (799313508).

Almost surely, 216257340393 is an apocalyptic number.

It is an amenable number.

16257340393 is a deficient number, since it is larger than the sum of its proper divisors (2926183799).

16257340393 is an equidigital number, since it uses as much as digits as its factorization.

16257340393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 16257340393 in words is "sixteen billion, two hundred fifty-seven million, three hundred forty thousand, three hundred ninety-three".

Divisors: 1 7 49 83 457 581 3199 4067 8747 22393 37931 61229 265517 428603 726001 1858619 3997379 5082007 27981653 35574049 195871571 331782457 2322477199 16257340393