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20071272012 = 22311297173849
BaseRepresentation
bin10010101100010101…
…110100111001001100
31220210210122021001220
4102230111310321030
5312101221201022
613115353003340
71310245666011
oct225425647114
956723567056
1020071272012
11856a789810
123a819b3550
131b7b3a041c
14d85959708
157c714885c
hex4ac574e4c

20071272012 has 96 divisors (see below), whose sum is σ = 53597376000. Its totient is φ = 5789683200.

The previous prime is 20071271993. The next prime is 20071272019. The reversal of 20071272012 is 21027217002.

It is not an unprimeable number, because it can be changed into a prime (20071272019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 234864 + ... + 308712.

It is an arithmetic number, because the mean of its divisors is an integer number (558306000).

Almost surely, 220071272012 is an apocalyptic number.

20071272012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20071272012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798688000).

20071272012 is an abundant number, since it is smaller than the sum of its proper divisors (33526103988).

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

20071272012 is a wasteful number, since it uses less digits than its factorization.

20071272012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73967 (or 73965 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 20071272012 its reverse (21027217002), we get a palindrome (41098489014).

The spelling of 20071272012 in words is "twenty billion, seventy-one million, two hundred seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 71 87 116 132 142 174 213 284 319 348 426 638 781 852 957 1276 1562 1914 2059 2343 3124 3828 4118 4686 6177 8236 9372 12354 22649 24708 45298 67947 73849 90596 135894 147698 221547 271788 295396 443094 812339 886188 1624678 2141621 2437017 3249356 4283242 4874034 5243279 6424863 8566484 9748068 10486558 12849726 15729837 20973116 23557831 25699452 31459674 47115662 57676069 62919348 70673493 94231324 115352138 141346986 152055091 173028207 230704276 282693972 304110182 346056414 456165273 608220364 692112828 912330546 1672606001 1824661092 3345212002 5017818003 6690424004 10035636006 20071272012