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10839474432 = 2834522737
BaseRepresentation
bin10100001100001010…
…10100000100000000
31000222102101100120000
422012011110010000
5134144401140212
64551331320000
7532420004163
oct120605240400
930872340500
1010839474432
114662667636
122126150000
1310398b18c7
1474b845ada
154369311dc
hex286154100

10839474432 has 90 divisors (see below), whose sum is σ = 32321413278. Its totient is φ = 3613151232.

The previous prime is 10839474421. The next prime is 10839474439. The reversal of 10839474432 is 23447493801.

10839474432 is a `hidden beast` number, since 108 + 39 + 474 + 43 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10719703296 + 119771136 = 103536^2 + 10944^2 .

It is not an unprimeable number, because it can be changed into a prime (10839474439) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 240633 + ... + 282104.

Almost surely, 210839474432 is an apocalyptic number.

10839474432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10839474432 is an abundant number, since it is smaller than the sum of its proper divisors (21481938846).

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

10839474432 is an frugal number, since it uses more digits than its factorization.

10839474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522765 (or 522742 counting only the distinct ones).

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

The spelling of 10839474432 in words is "ten billion, eight hundred thirty-nine million, four hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 522737 1045474 1568211 2090948 3136422 4181896 4704633 6272844 8363792 9409266 12545688 14113899 16727584 18818532 25091376 28227798 33455168 37637064 42341697 50182752 56455596 66910336 75274128 84683394 100365504 112911192 133820672 150548256 169366788 200731008 225822384 301096512 338733576 401462016 451644768 602193024 677467152 903289536 1204386048 1354934304 1806579072 2709868608 3613158144 5419737216 10839474432