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13487828805 = 3451129104399
BaseRepresentation
bin11001000111110111…
…11110111101000101
31021210222201200210000
430203323332331011
5210110341010210
610110214551513
7655145440023
oct144373767505
937728650700
1013487828805
1157a1589460
122745068599
13136c484bb9
1491d473713
1553e1b3ac0
hex323efef45

13487828805 has 80 divisors (see below), whose sum is σ = 27285984000. Its totient is φ = 6313991040.

The previous prime is 13487828773. The next prime is 13487828819. The reversal of 13487828805 is 50882878431.

13487828805 is a `hidden beast` number, since 1 + 3 + 487 + 82 + 8 + 80 + 5 = 666.

It is not a de Polignac number, because 13487828805 - 25 = 13487828773 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76996 + ... + 181394.

It is an arithmetic number, because the mean of its divisors is an integer number (341074800).

Almost surely, 213487828805 is an apocalyptic number.

13487828805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13487828805 is an abundant number, since it is smaller than the sum of its proper divisors (13798155195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13487828805 is a wasteful number, since it uses less digits than its factorization.

13487828805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104456 (or 104447 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 13487828805 in words is "thirteen billion, four hundred eighty-seven million, eight hundred twenty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 81 87 99 135 145 165 261 297 319 405 435 495 783 891 957 1305 1485 1595 2349 2871 3915 4455 4785 8613 11745 14355 25839 43065 104399 129195 313197 521995 939591 1148389 1565985 2818773 3027571 3445167 4697955 5741945 8456319 9082713 10335501 14093865 15137855 17225835 27248139 31006503 33303281 42281595 45413565 51677505 81744417 93019509 99909843 136240695 155032515 166516405 245233251 299729529 408722085 465097545 499549215 899188587 1226166255 1498647645 2697565761 4495942935 13487828805