Search a number
-
+
12052184480 = 255743250253
BaseRepresentation
bin10110011100101110…
…11011110110100000
31011002221022101222222
423032113123312200
5144140324400410
65311532050212
7604443610040
oct131627336640
934087271888
1012052184480
115125164646
122404303968
1311a0c0630b
14824923720
154a812c955
hex2ce5dbda0

12052184480 has 96 divisors (see below), whose sum is σ = 33297796224. Its totient is φ = 4036064256.

The previous prime is 12052184477. The next prime is 12052184489. The reversal of 12052184480 is 8448125021.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12052184480.

It is not an unprimeable number, because it can be changed into a prime (12052184489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76967 + ... + 173286.

It is an arithmetic number, because the mean of its divisors is an integer number (346852044).

Almost surely, 212052184480 is an apocalyptic number.

12052184480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12052184480 is an abundant number, since it is smaller than the sum of its proper divisors (21245611744).

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

12052184480 is a wasteful number, since it uses less digits than its factorization.

12052184480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250318 (or 250310 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 12052184480 in words is "twelve billion, fifty-two million, one hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 3010 3440 4816 6020 6880 9632 12040 24080 48160 250253 500506 1001012 1251265 1751771 2002024 2502530 3503542 4004048 5005060 7007084 8008096 8758855 10010120 10760879 14014168 17517710 20020240 21521758 28028336 35035420 40040480 43043516 53804395 56056672 70070840 75326153 86087032 107608790 140141680 150652306 172174064 215217580 280283360 301304612 344348128 376630765 430435160 602609224 753261530 860870320 1205218448 1506523060 1721740640 2410436896 3013046120 6026092240 12052184480