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20345032363540 = 22517210932292677
BaseRepresentation
bin1001010000000111100100…
…11011010100111000010100
32200000222002021201121220011
410220003302123110320110
510131313111241113130
6111134213455050004
74166610603514003
oct450036233247024
980028067647804
1020345032363540
116534309414605
122347006210904
13b476b39454b1
145049c2054c3a
1525434ac2752a
hex1280f26d4e14

20345032363540 has 72 divisors (see below), whose sum is σ = 45801996914520. Its totient is φ = 7589037201408.

The previous prime is 20345032363519. The next prime is 20345032363549. The reversal of 20345032363540 is 4536323054302.

It can be written as a sum of positive squares in 12 ways, for example, as 147162769924 + 20197869593616 = 383618^2 + 4494204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20345032363493 and 20345032363502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345032363549) 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 23 ways as a sum of consecutive naturals, for example, 15516319 + ... + 16776358.

It is an arithmetic number, because the mean of its divisors is an integer number (636138846035).

Almost surely, 220345032363540 is an apocalyptic number.

20345032363540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20345032363540 is an abundant number, since it is smaller than the sum of its proper divisors (25456964550980).

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

20345032363540 is a wasteful number, since it uses less digits than its factorization.

20345032363540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32292829 (or 32292810 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

The spelling of 20345032363540 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, three hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 289 340 436 545 578 1090 1156 1445 1853 2180 2890 3706 5780 7412 9265 18530 31501 37060 63002 126004 157505 315010 630020 32292677 64585354 129170708 161463385 322926770 548975509 645853540 1097951018 2195902036 2744877545 3519901793 5489755090 7039803586 9332583653 10979510180 14079607172 17599508965 18665167306 35199017930 37330334612 46662918265 59838330481 70398035860 93325836530 119676660962 186651673060 239353321924 299191652405 598383304810 1017251618177 1196766609620 2034503236354 4069006472708 5086258090885 10172516181770 20345032363540