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13838705517 = 3713172981837
BaseRepresentation
bin11001110001101100…
…11110001101101101
31022201102222002010210
430320312132031231
5211320202034032
610205111253033
7666636025140
oct147066361555
938642862123
1013838705517
11596165230a
12282267a179
1313c7087160
14953ccc057
1555edc22cc
hex338d9e36d

13838705517 has 32 divisors (see below), whose sum is σ = 24045541632. Its totient is φ = 6870150144.

The previous prime is 13838705501. The next prime is 13838705519. The reversal of 13838705517 is 71550783831.

It is not a de Polignac number, because 13838705517 - 24 = 13838705501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838705519) 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, 1486278 + ... + 1495559.

It is an arithmetic number, because the mean of its divisors is an integer number (751423176).

Almost surely, 213838705517 is an apocalyptic number.

13838705517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13838705517 is a deficient number, since it is larger than the sum of its proper divisors (10206836115).

13838705517 is a wasteful number, since it uses less digits than its factorization.

13838705517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981877.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 13838705517 in words is "thirteen billion, eight hundred thirty-eight million, seven hundred five thousand, five hundred seventeen".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 2981837 8945511 20872859 38763881 50691229 62618577 116291643 152073687 271347167 354838603 658985977 814041501 1064515809 1976957931 4612901839 13838705517