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13432033005 = 3523533532081
BaseRepresentation
bin11001000001001110…
…01000111011101101
31021200002201222022220
430200213020323231
5210002100024010
610100503025553
7653600253036
oct144047107355
937602658286
1013432033005
11577303a226
12272a43b2b9
131360a4a731
14915caba8d
15539341970
hex3209c8eed

13432033005 has 64 divisors (see below), whose sum is σ = 22924518912. Its totient is φ = 6700728320.

The previous prime is 13432032983. The next prime is 13432033019. The reversal of 13432033005 is 50033023431.

It is a happy number.

13432033005 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 13432033005 - 26 = 13432032941 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6453565 + ... + 6455645.

It is an arithmetic number, because the mean of its divisors is an integer number (358195608).

Almost surely, 213432033005 is an apocalyptic number.

13432033005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13432033005 is a deficient number, since it is larger than the sum of its proper divisors (9492485907).

13432033005 is a wasteful number, since it uses less digits than its factorization.

13432033005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518.

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 13432033005 its reverse (50033023431), we get a palindrome (63465056436).

The spelling of 13432033005 in words is "thirteen billion, four hundred thirty-two million, thirty-three thousand, five".

Divisors: 1 3 5 15 23 53 69 115 159 265 345 353 795 1059 1219 1765 2081 3657 5295 6095 6243 8119 10405 18285 18709 24357 31215 40595 47863 56127 93545 110293 121785 143589 239315 280635 330879 430307 551465 717945 734593 1290921 1654395 2151535 2203779 2536739 3672965 6454605 7610217 11018895 12683695 16895639 38051085 38933429 50686917 84478195 116800287 194667145 253434585 584001435 895468867 2686406601 4477344335 13432033005