Search a number
-
+
13184710422 = 23132163241331
BaseRepresentation
bin11000100011101111…
…01011011100010110
31021000212100200112020
430101313223130112
5204000241213142
610020150034010
7644505121662
oct142167533426
937025320466
1013184710422
1156564750a4
12267b648906
131321734900
148d10cb8a2
1552278acec
hex311deb716

13184710422 has 96 divisors (see below), whose sum is σ = 28935409536. Its totient is φ = 4003084800.

The previous prime is 13184710403. The next prime is 13184710453. The reversal of 13184710422 is 22401748131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39832797 + ... + 39833127.

It is an arithmetic number, because the mean of its divisors is an integer number (301410516).

Almost surely, 213184710422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13184710422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467704768).

13184710422 is an abundant number, since it is smaller than the sum of its proper divisors (15750699114).

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

13184710422 is a wasteful number, since it uses less digits than its factorization.

13184710422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 13184710422 in words is "thirteen billion, one hundred eighty-four million, seven hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 163 169 241 326 331 338 482 489 507 662 723 978 993 1014 1446 1986 2119 3133 4238 4303 6266 6357 8606 9399 12714 12909 18798 25818 27547 39283 40729 53953 55094 55939 78566 79771 81458 82641 107906 111878 117849 122187 159542 161859 165282 167817 235698 239313 244374 323718 335634 478626 510679 701389 1021358 1037023 1402778 1532037 2074046 2104167 3064074 3111069 4208334 6222138 6638827 9118057 13002673 13277654 13481299 18236114 19916481 26005346 26962598 27354171 39008019 39832962 40443897 54708342 78016038 80887794 169034749 338069498 507104247 1014208494 2197451737 4394903474 6592355211 13184710422