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42845454824 = 231753101229257
BaseRepresentation
bin100111111001110010…
…011100000111101000
311002120222021121201012
4213321302130013220
51200221414023244
631403302443052
73044515233314
oct477162340750
9132528247635
1042845454824
11171971623a7
128378a33488
13406a736143
142106464b44
1511ab6ee89e
hex9f9c9c1e8

42845454824 has 128 divisors (see below), whose sum is σ = 88248074400. Its totient is φ = 19424870400.

The previous prime is 42845454809. The next prime is 42845454851.

42845454824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 42800161924 + 45292900 = 206882^2 + 6730^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166713704 + ... + 166713960.

Almost surely, 242845454824 is an apocalyptic number.

It is an amenable number.

42845454824 is an abundant number, since it is smaller than the sum of its proper divisors (45402619576).

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

42845454824 is a wasteful number, since it uses less digits than its factorization.

42845454824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The spelling of 42845454824 in words is "forty-two billion, eight hundred forty-five million, four hundred fifty-four thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 17 34 53 68 101 106 136 202 212 229 257 404 424 458 514 808 901 916 1028 1717 1802 1832 2056 3434 3604 3893 4369 5353 6868 7208 7786 8738 10706 12137 13621 13736 15572 17476 21412 23129 24274 25957 27242 31144 34952 42824 46258 48548 51914 54484 58853 91001 92516 97096 103828 108968 117706 182002 185032 206329 207656 231557 235412 364004 393193 412658 441269 463114 470824 728008 786386 825316 882538 926228 1000501 1225837 1375721 1572772 1650632 1765076 1852456 2001002 2451674 2751442 3119209 3145544 3530152 4002004 4903348 5502884 5944153 6238418 8004008 9806696 11005768 11888306 12476836 20839229 23387257 23776612 24953672 41678458 46774514 47553224 53026553 83356916 93549028 101050601 106053106 166713832 187098056 202101202 212106212 315040109 404202404 424212424 630080218 808404808 1260160436 2520320872 5355681853 10711363706 21422727412 42845454824