Search a number
-
+
13165112646 = 2327238951043
BaseRepresentation
bin11000100001011001…
…11010110101000110
31020222111111000102200
430100230322311012
5203430232101041
610014210015330
7644146416420
oct142054726506
936874430380
1013165112646
1156463a9a94
122674b77546
13131a6625aa
148cc669810
15520bb91b6
hex310b3ad46

13165112646 has 96 divisors (see below), whose sum is σ = 34399572480. Its totient is φ = 3557423232.

The previous prime is 13165112627. The next prime is 13165112663. The reversal of 13165112646 is 64621156131.

13165112646 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 5 + 1 + 1 + 2 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13165112646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232401 + ... + 283443.

It is an arithmetic number, because the mean of its divisors is an integer number (358328880).

Almost surely, 213165112646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13165112646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199786240).

13165112646 is an abundant number, since it is smaller than the sum of its proper divisors (21234459834).

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

13165112646 is a wasteful number, since it uses less digits than its factorization.

13165112646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51170 (or 51167 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 13165112646 its reverse (64621156131), we get a palindrome (77786268777).

The spelling of 13165112646 in words is "thirteen billion, one hundred sixty-five million, one hundred twelve thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 89 126 138 161 178 207 267 322 414 483 534 623 801 966 1246 1449 1602 1869 2047 2898 3738 4094 5607 6141 11214 12282 14329 18423 28658 36846 42987 51043 85974 102086 128961 153129 257922 306258 357301 459387 714602 918774 1071903 1173989 2143806 2347978 3215709 3521967 4542827 6431418 7043934 8217923 9085654 10565901 13628481 16435846 21131802 24653769 27256962 31799789 40885443 49307538 63599578 73961307 81770886 95399367 104485021 147922614 190798734 208970042 286198101 313455063 572396202 626910126 731395147 940365189 1462790294 1880730378 2194185441 4388370882 6582556323 13165112646