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13087039518 = 23271716337483
BaseRepresentation
bin11000011000000110…
…00110000000011110
31020210001120111020100
430030003012000132
5203300240231033
610002340401530
7642211000110
oct141403060036
936701514210
1013087039518
115606324543
1226529a62a6
131307428287
148c21453b0
15518de6513
hex30c0c601e

13087039518 has 96 divisors (see below), whose sum is σ = 34523663616. Its totient is φ = 3497520384.

The previous prime is 13087039487. The next prime is 13087039519. The reversal of 13087039518 is 81593078031.

13087039518 is a `hidden beast` number, since 1 + 30 + 8 + 70 + 39 + 518 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087039519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330405 + ... + 367887.

It is an arithmetic number, because the mean of its divisors is an integer number (359621496).

Almost surely, 213087039518 is an apocalyptic number.

13087039518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13087039518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261831808).

13087039518 is an abundant number, since it is smaller than the sum of its proper divisors (21436624098).

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

13087039518 is a wasteful number, since it uses less digits than its factorization.

13087039518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37678 (or 37675 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13087039518 in words is "thirteen billion, eighty-seven million, thirty-nine thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 163 238 306 326 357 489 714 978 1071 1141 1467 2142 2282 2771 2934 3423 5542 6846 8313 10269 16626 19397 20538 24939 37483 38794 49878 58191 74966 112449 116382 174573 224898 262381 337347 349146 524762 637211 674694 787143 1274422 1574286 1911633 2361429 3823266 4460477 4722858 5734899 6109729 8920954 11469798 12219458 13381431 18329187 26762862 36658374 40144293 42768103 54987561 80288586 85536206 103865393 109975122 128304309 207730786 256608618 311596179 384912927 623192358 727057751 769825854 934788537 1454115502 1869577074 2181173253 4362346506 6543519759 13087039518