Search a number
-
+
12934674180 = 2232571859301
BaseRepresentation
bin11000000101111011…
…10111011100000100
31020101102212112021200
430002331313130010
5202442234033210
65535254542500
7635350626231
oct140275673404
936342775250
1012934674180
11553831717a
12260b967a30
1312b19ab87c
148a9c02788
1550a84b0c0
hex302f77704

12934674180 has 36 divisors (see below), whose sum is σ = 39235178892. Its totient is φ = 3449246400.

The previous prime is 12934674169. The next prime is 12934674209. The reversal of 12934674180 is 8147643921.

12934674180 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 467 + 4 + 180 = 666.

12934674180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10067714244 + 2866959936 = 100338^2 + 53544^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×129346741802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35929471 + ... + 35929830.

Almost surely, 212934674180 is an apocalyptic number.

12934674180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12934674180 is an abundant number, since it is smaller than the sum of its proper divisors (26300504712).

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

12934674180 is a wasteful number, since it uses less digits than its factorization.

12934674180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71859316 (or 71859311 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12934674180 in words is "twelve billion, nine hundred thirty-four million, six hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 71859301 143718602 215577903 287437204 359296505 431155806 646733709 718593010 862311612 1077889515 1293467418 1437186020 2155779030 2586934836 3233668545 4311558060 6467337090 12934674180