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10450321040020 = 22517731932181577
BaseRepresentation
bin1001100000010010011110…
…1011000110001010010100
31101000001002211201022120011
42120010213223012022110
52332204224141240040
634120451115450004
72126003461130641
oct230044753061224
941001084638504
1010450321040020
113369a578735a4
121209413456904
135aa5cbbbcc94
14281b26510dc8
15131c844993ea
hex98127ac6294

10450321040020 has 96 divisors (see below), whose sum is σ = 23676962728608. Its totient is φ = 3860237647872.

The previous prime is 10450321039973. The next prime is 10450321040039. The reversal of 10450321040020 is 2004012305401.

It can be written as a sum of positive squares in 16 ways, for example, as 465454146564 + 9984866893456 = 682242^2 + 3159884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10450321039973 and 10450321040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699472 + ... + 5881048.

It is an arithmetic number, because the mean of its divisors is an integer number (246635028423).

Almost surely, 210450321040020 is an apocalyptic number.

10450321040020 is a gapful number since it is divisible by the number (10) 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 10450321040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838481364304).

10450321040020 is an abundant number, since it is smaller than the sum of its proper divisors (13226641688588).

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

10450321040020 is a wasteful number, since it uses less digits than its factorization.

10450321040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181869 (or 2181867 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10450321040020 its reverse (2004012305401), we get a palindrome (12454333345421).

The spelling of 10450321040020 in words is "ten trillion, four hundred fifty billion, three hundred twenty-one million, forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 193 292 340 365 386 730 772 965 1241 1460 1930 2482 3281 3860 4964 6205 6562 12410 13124 14089 16405 24820 28178 32810 56356 65620 70445 140890 239513 281780 479026 958052 1197565 2181577 2395130 4363154 4790260 8726308 10907885 21815770 37086809 43631540 74173618 148347236 159255121 185434045 318510242 370868090 421044361 637020484 741736180 796275605 842088722 1592551210 1684177444 2105221805 2707337057 3185102420 4210443610 5414674114 7157754137 8420887220 10829348228 13536685285 14315508274 27073370570 28631016548 30736238353 35788770685 54146741140 61472476706 71577541370 122944953412 143155082740 153681191765 307362383530 522516052001 614724767060 1045032104002 2090064208004 2612580260005 5225160520010 10450321040020