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13685814135 = 3357107135349
BaseRepresentation
bin11001011111011110…
…01111001101110111
31022022210021101121000
430233233033031313
5211012032023020
610142010254343
7663101333520
oct145757171567
938283241530
1013685814135
1158933157a4
12279b4273b3
1313a14b5196
1493b88d847
15551771090
hex32fbcf377

13685814135 has 64 divisors (see below), whose sum is σ = 28066176000. Its totient is φ = 6197855616.

The previous prime is 13685814127. The next prime is 13685814139. The reversal of 13685814135 is 53141858631.

13685814135 is a `hidden beast` number, since 1 + 3 + 68 + 581 + 4 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 13685814135 - 23 = 13685814127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685814139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33441 + ... + 168789.

It is an arithmetic number, because the mean of its divisors is an integer number (438534000).

Almost surely, 213685814135 is an apocalyptic number.

13685814135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13685814135 is an abundant number, since it is smaller than the sum of its proper divisors (14380361865).

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

13685814135 is a wasteful number, since it uses less digits than its factorization.

13685814135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135477 (or 135471 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 13685814135 in words is "thirteen billion, six hundred eighty-five million, eight hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 535 749 945 963 1605 2247 2889 3745 4815 6741 11235 14445 20223 33705 101115 135349 406047 676745 947443 1218141 2030235 2842329 3654423 4737215 6090705 8526987 14211645 14482343 18272115 25580961 42634935 43447029 72411715 101376401 127904805 130341087 217235145 304129203 391023261 506882005 651705435 912387609 1520646015 1955116305 2737162827 4561938045 13685814135