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12378364038 = 2324189188459
BaseRepresentation
bin10111000011100111…
…01101100010000110
31011221200002001020100
423201303231202012
5200322330122123
65404143144530
7615514233615
oct134163554206
934850061210
1012378364038
11528229a127
1224955a5146
13122366c181
14855d8d87c
154c6aad643
hex2e1ced886

12378364038 has 48 divisors (see below), whose sum is σ = 27782773200. Its totient is φ = 3980232960.

The previous prime is 12378364027. The next prime is 12378364051. The reversal of 12378364038 is 83046387321.

12378364038 is a `hidden beast` number, since 1 + 237 + 8 + 3 + 6 + 403 + 8 = 666.

12378364038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12378363984 and 12378364002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28548 + ... + 159911.

It is an arithmetic number, because the mean of its divisors is an integer number (578807775).

Almost surely, 212378364038 is an apocalyptic number.

12378364038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12378364038 is an abundant number, since it is smaller than the sum of its proper divisors (15404409162).

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

12378364038 is a wasteful number, since it uses less digits than its factorization.

12378364038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188597 (or 188594 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12378364038 in words is "twelve billion, three hundred seventy-eight million, three hundred sixty-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 89 123 178 246 267 369 534 738 801 1602 3649 7298 10947 21894 32841 65682 188459 376918 565377 1130754 1696131 3392262 7726819 15453638 16772851 23180457 33545702 46360914 50318553 69541371 100637106 139082742 150955659 301911318 687686891 1375373782 2063060673 4126121346 6189182019 12378364038