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20313435312 = 24355224649
BaseRepresentation
bin10010111010110001…
…100110110010110000
31221102200022102200000
4102322301212302300
5313100214412222
613155403230000
71316246231322
oct227261466260
957380272600
1020313435312
11868444a675
123b2ab18300
131bb95cab11
14da9b95612
157dd5309ac
hex4bac66cb0

20313435312 has 60 divisors (see below), whose sum is σ = 58954950600. Its totient is φ = 6771143808.

The previous prime is 20313435299. The next prime is 20313435349. The reversal of 20313435312 is 21353431302.

20313435312 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 343 + 5 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2608437 + ... + 2616212.

It is an arithmetic number, because the mean of its divisors is an integer number (982582510).

Almost surely, 220313435312 is an apocalyptic number.

It is an amenable number.

20313435312 is an abundant number, since it is smaller than the sum of its proper divisors (38641515288).

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

20313435312 is an equidigital number, since it uses as much as digits as its factorization.

20313435312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224672 (or 5224654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 20313435312 its reverse (21353431302), we get a palindrome (41666866614).

It can be divided in two parts, 20313 and 435312, that added together give a square (455625 = 6752).

The spelling of 20313435312 in words is "twenty billion, three hundred thirteen million, four hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5224649 10449298 15673947 20898596 31347894 41797192 47021841 62695788 83594384 94043682 125391576 141065523 188087364 250783152 282131046 376174728 423196569 564262092 752349456 846393138 1128524184 1269589707 1692786276 2257048368 2539179414 3385572552 5078358828 6771145104 10156717656 20313435312