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20413656324252 = 223237123716217643
BaseRepresentation
bin1001010010000111011001…
…01110111101100010011100
32200021112012210211000201200
410221003230232331202130
510133424132004334002
6111225523152435500
74204560301534212
oct451035456754234
980245183730650
1020413656324252
1165604238a2a24
122358378248b90
13b50ccbc804c9
14508051dd4cb2
15256015627b1c
hex1290ecbbd89c

20413656324252 has 144 divisors (see below), whose sum is σ = 53078319202272. Its totient is φ = 6610347118080.

The previous prime is 20413656324223. The next prime is 20413656324283. The reversal of 20413656324252 is 25242365631402.

20413656324252 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 6 + 5 + 632 + 4 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20413656324198 and 20413656324207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2670891943 + ... + 2670899585.

Almost surely, 220413656324252 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 20413656324252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539159601136).

20413656324252 is an abundant number, since it is smaller than the sum of its proper divisors (32664662878020).

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

20413656324252 is a wasteful number, since it uses less digits than its factorization.

20413656324252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 20413656324252 in words is "twenty trillion, four hundred thirteen billion, six hundred fifty-six million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1237 1332 1621 2474 3242 3711 4863 4948 6484 7422 7643 9726 11133 14589 14844 15286 19452 22266 22929 29178 30572 44532 45769 45858 58356 59977 68787 91538 91716 119954 137307 137574 179931 183076 239908 274614 275148 282791 359862 411921 539793 549228 565582 719724 823842 848373 1079586 1131164 1647684 1696746 2005177 2159172 2545119 3393492 4010354 5090238 6015531 8020708 9454391 10180476 12031062 12389303 18046593 18908782 24062124 24778606 28363173 36093186 37167909 37817564 49557212 56726346 72186372 74191549 74335818 85089519 111503727 113452692 148383098 148671636 170179038 222574647 223007454 296766196 340358076 349812467 445149294 446014908 458404211 667723941 699624934 890298588 916808422 1049437401 1335447882 1375212633 1399249868 1833616844 2098874802 2670895764 2750425266 3148312203 4125637899 4197749604 5500850532 6296624406 8251275798 12593248812 15325567811 16502551596 30651135622 45976703433 61302271244 91953406866 137930110299 183906813732 275860220598 551720441196 567046009007 1134092018014 1701138027021 2268184036028 3402276054042 5103414081063 6804552108084 10206828162126 20413656324252