Search a number
-
+
13249283319 = 341721929789
BaseRepresentation
bin11000101011011100…
…00000010011110111
31021012100212022220000
430111232000103313
5204113304031234
610030414042343
7646221023106
oct142556002367
937170768800
1013249283319
115689969728
1226991a93b3
131331c2311c
148d98da03d
15528293899
hex315b804f7

13249283319 has 60 divisors (see below), whose sum is σ = 22132182600. Its totient is φ = 7875470592.

The previous prime is 13249283303. The next prime is 13249283339. The reversal of 13249283319 is 91338294231.

13249283319 is a `hidden beast` number, since 1 + 324 + 9 + 2 + 8 + 3 + 319 = 666.

13249283319 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 13249283319 - 24 = 13249283303 is a prime.

It is a super-2 number, since 2×132492833192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249283339) 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 59 ways as a sum of consecutive naturals, for example, 429877 + ... + 459665.

It is an arithmetic number, because the mean of its divisors is an integer number (368869710).

Almost surely, 213249283319 is an apocalyptic number.

13249283319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13249283319 is a deficient number, since it is larger than the sum of its proper divisors (8882899281).

13249283319 is a wasteful number, since it uses less digits than its factorization.

13249283319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29854 (or 29828 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 13249283319 in words is "thirteen billion, two hundred forty-nine million, two hundred eighty-three thousand, three hundred nineteen".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 289 323 459 513 867 969 1377 1539 2601 2907 5491 7803 8721 16473 23409 26163 29789 49419 89367 148257 268101 444771 506413 565991 804303 1519239 1697973 2412909 4557717 5093919 8609021 9621847 13673151 15281757 25827063 28865541 41019453 45845271 77481189 86596623 163571399 232443567 259789869 490714197 697330701 779369607 1472142591 4416427773 13249283319