Search a number
-
+
16413340333 = 1326115710141
BaseRepresentation
bin11110100100100111…
…11011001010101101
31120100212121002010211
433102103323022231
5232103303342313
611312402502421
71120511043115
oct172223731255
946325532124
1016413340333
116a629a2585
123220964a11
1317175b8900
14b19c0a045
15660e41e3d
hex3d24fb2ad

16413340333 has 24 divisors (see below), whose sum is σ = 18181238856. Its totient is φ = 14806022400.

The previous prime is 16413340301. The next prime is 16413340379. The reversal of 16413340333 is 33304331461.

It can be written as a sum of positive squares in 12 ways, for example, as 15729674724 + 683665609 = 125418^2 + 26147^2 .

It is not a de Polignac number, because 16413340333 - 25 = 16413340301 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16413340295 and 16413340304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413341333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613443 + ... + 1623583.

It is an arithmetic number, because the mean of its divisors is an integer number (757551619).

Almost surely, 216413340333 is an apocalyptic number.

16413340333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16413340333 is a deficient number, since it is larger than the sum of its proper divisors (1767898523).

16413340333 is a wasteful number, since it uses less digits than its factorization.

16413340333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 16413340333 its reverse (33304331461), we get a palindrome (49717671794).

The spelling of 16413340333 in words is "sixteen billion, four hundred thirteen million, three hundred forty thousand, three hundred thirty-three".

Divisors: 1 13 61 157 169 793 2041 9577 10141 10309 26533 124501 131833 618601 1592137 1618513 1713829 8041813 20697781 97120357 104543569 269071153 1262564641 16413340333