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12048052932 = 22321719686361
BaseRepresentation
bin10110011100001111…
…01011001011000100
31011002122112111120200
423032013223023010
5144133300143212
65311303330500
7604363521516
oct131607531304
934078474520
1012048052932
1151228a2543
122402a50a30
1311a00ba906
14824169bb6
154a7ab36dc
hex2ce1eb2c4

12048052932 has 36 divisors (see below), whose sum is σ = 32246260956. Its totient is φ = 3779781120.

The previous prime is 12048052927. The next prime is 12048052943. The reversal of 12048052932 is 23925084021.

It is a happy number.

12048052932 is a `hidden beast` number, since 1 + 20 + 4 + 80 + 529 + 32 = 666.

12048052932 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 3654927936 + 8393124996 = 60456^2 + 91614^2 .

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

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

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, 9842569 + ... + 9843792.

It is an arithmetic number, because the mean of its divisors is an integer number (895729471).

Almost surely, 212048052932 is an apocalyptic number.

12048052932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12048052932 is an abundant number, since it is smaller than the sum of its proper divisors (20198208024).

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

12048052932 is a wasteful number, since it uses less digits than its factorization.

12048052932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19686388 (or 19686383 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12048052932 in words is "twelve billion, forty-eight million, fifty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 19686361 39372722 59059083 78745444 118118166 177177249 236236332 334668137 354354498 669336274 708708996 1004004411 1338672548 2008008822 3012013233 4016017644 6024026466 12048052932