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12045206432 = 257263204461
BaseRepresentation
bin10110011011111001…
…10100001110100000
31011002110011212220202
423031330310032200
5144132033101212
65311122324332
7604330364630
oct131574641640
934073155822
1012045206432
115121228966
122401ab96a8
13119c6320ac
14823a286c0
154a77000c2
hex2cdf343a0

12045206432 has 48 divisors (see below), whose sum is σ = 27204895872. Its totient is φ = 5142577920.

The previous prime is 12045206377. The next prime is 12045206441. The reversal of 12045206432 is 23460254021.

12045206432 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 = 12045206395 and 12045206404.

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 7 ways as a sum of consecutive naturals, for example, 43319 + ... + 161142.

It is an arithmetic number, because the mean of its divisors is an integer number (566768664).

Almost surely, 212045206432 is an apocalyptic number.

It is an amenable number.

12045206432 is an abundant number, since it is smaller than the sum of its proper divisors (15159689440).

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

12045206432 is a wasteful number, since it uses less digits than its factorization.

12045206432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204741 (or 204733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 12045206432 in words is "twelve billion, forty-five million, two hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 263 526 1052 1841 2104 3682 4208 7364 8416 14728 29456 58912 204461 408922 817844 1431227 1635688 2862454 3271376 5724908 6542752 11449816 22899632 45799264 53773243 107546486 215092972 376412701 430185944 752825402 860371888 1505650804 1720743776 3011301608 6022603216 12045206432