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982421313552 = 2436712032399
BaseRepresentation
bin11100100101111001101…
…11111001100000010000
310110220210122000122000000
432102330313321200100
5112043444324013202
62031152414130000
7130656213245220
oct16227467714020
93426718018000
10982421313552
11349708246658
1213a496ab0900
137184642cb23
143579996c080
151a84d38191c
hexe4bcdf9810

982421313552 has 140 divisors (see below), whose sum is σ = 3261550473600. Its totient is φ = 280691780544.

The previous prime is 982421313481. The next prime is 982421313553. The reversal of 982421313552 is 255313124289.

982421313552 is a `hidden beast` number, since 9 + 82 + 4 + 2 + 1 + 3 + 13 + 552 = 666.

982421313552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9824213135523 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 982421313498 and 982421313507.

It is not an unprimeable number, because it can be changed into a prime (982421313553) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5934552 + ... + 6097847.

Almost surely, 2982421313552 is an apocalyptic number.

It is an amenable number.

982421313552 is an abundant number, since it is smaller than the sum of its proper divisors (2279129160048).

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

982421313552 is a wasteful number, since it uses less digits than its factorization.

982421313552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032432 (or 12032411 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 982421313552 in words is "nine hundred eighty-two billion, four hundred twenty-one million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 40824 81648 12032399 24064798 36097197 48129596 72194394 84226793 96259192 108291591 144388788 168453586 192518384 216583182 252680379 288777576 324874773 336907172 433166364 505360758 577555152 649749546 673814344 758041137 866332728 974624319 1010721516 1299499092 1347628688 1516082274 1732665456 1949248638 2021443032 2274123411 2598998184 2923872957 3032164548 3898497276 4042886064 4548246822 5197996368 5847745914 6064329096 6822370233 7796994552 8771618871 9096493644 11695491828 12128658192 13644740466 15593989104 17543237742 18192987288 20467110699 23390983656 27289480932 35086475484 36385974576 40934221398 46781967312 54578961864 61401332097 70172950968 81868442796 109157923728 122802664194 140345901936 163736885592 245605328388 327473771184 491210656776 982421313552