Search a number
-
+
12180646440 = 2332533835129
BaseRepresentation
bin10110101100000010…
…11110101000101000
31011102220000221200100
423112001132220220
5144421221141230
65332401305400
7610563533514
oct132601365050
934386027610
1012180646440
115190725a56
12243b335260
1311c1703a01
14837a03144
154b4555660
hex2d605ea28

12180646440 has 48 divisors (see below), whose sum is σ = 39587102100. Its totient is φ = 3248172288.

The previous prime is 12180646433. The next prime is 12180646447. The reversal of 12180646440 is 4464608121.

It is a happy number.

12180646440 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 6 + 4 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12180646433) and next prime (12180646447).

It can be written as a sum of positive squares in 2 ways, for example, as 12178888164 + 1758276 = 110358^2 + 1326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12180646395 and 12180646404.

It is not an unprimeable number, because it can be changed into a prime (12180646447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16917205 + ... + 16917924.

Almost surely, 212180646440 is an apocalyptic number.

12180646440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12180646440 is an abundant number, since it is smaller than the sum of its proper divisors (27406455660).

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

12180646440 is a wasteful number, since it uses less digits than its factorization.

12180646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33835146 (or 33835139 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12180646440 in words is "twelve billion, one hundred eighty million, six hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33835129 67670258 101505387 135340516 169175645 203010774 270681032 304516161 338351290 406021548 507526935 609032322 676702580 812043096 1015053870 1218064644 1353405160 1522580805 2030107740 2436129288 3045161610 4060215480 6090323220 12180646440