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13788208017 = 336115753323
BaseRepresentation
bin11001101011101011…
…10101101110010001
31022120220221112121000
430311311311232101
5211214240124032
610200105052213
7665453556123
oct146565655621
938526845530
1013788208017
1159360a1841
122809787069
1313b978648c
1494b305213
1555a749e7c
hex335d75b91

13788208017 has 32 divisors (see below), whose sum is σ = 20894476160. Its totient is φ = 8983690560.

The previous prime is 13788208013. The next prime is 13788208067. The reversal of 13788208017 is 71080288731.

It is not a de Polignac number, because 13788208017 - 22 = 13788208013 is a prime.

It is a super-2 number, since 2×137882080172 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13788208013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231918 + ... + 285240.

It is an arithmetic number, because the mean of its divisors is an integer number (652952380).

Almost surely, 213788208017 is an apocalyptic number.

It is an amenable number.

13788208017 is a deficient number, since it is larger than the sum of its proper divisors (7106268143).

13788208017 is a wasteful number, since it uses less digits than its factorization.

13788208017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53550 (or 53544 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 13788208017 in words is "thirteen billion, seven hundred eighty-eight million, two hundred eight thousand, seventeen".

Divisors: 1 3 9 27 61 157 183 471 549 1413 1647 4239 9577 28731 53323 86193 159969 258579 479907 1439721 3252703 8371711 9758109 25115133 29274327 75345399 87822981 226036197 510674371 1532023113 4596069339 13788208017