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12717059072 = 21031212923
BaseRepresentation
bin10111101011111111…
…01110110000000000
31012211021101112110212
423311333232300000
5202021031342242
65501522413252
7630066134654
oct136577566000
935737345425
1012717059072
1154364a2783
12256ab01228
131278897833
14888d56a64
154e66b2782
hex2f5feec00

12717059072 has 66 divisors (see below), whose sum is σ = 26270240004. Its totient is φ = 6152939520.

The previous prime is 12717059071. The next prime is 12717059077. The reversal of 12717059072 is 27095071721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12717059071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 977603 + ... + 990525.

Almost surely, 212717059072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12717059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135120002).

12717059072 is an abundant number, since it is smaller than the sum of its proper divisors (13553180932).

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

12717059072 is an equidigital number, since it uses as much as digits as its factorization.

12717059072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12956 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 41.

The spelling of 12717059072 in words is "twelve billion, seven hundred seventeen million, fifty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 3844 3968 7688 7936 12923 15376 15872 25846 30752 31744 51692 61504 103384 123008 206768 246016 400613 413536 492032 801226 827072 984064 1602452 1654144 3204904 3308288 6409808 6616576 12419003 12819616 13233152 24838006 25639232 49676012 51278464 99352024 102556928 198704048 205113856 397408096 410227712 794816192 1589632384 3179264768 6358529536 12717059072