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53810117749444 = 2272199226332
BaseRepresentation
bin11000011110000101001001…
…11101000010101011000100
321001112012022121220012120111
430033002210331002223010
524023111110120440234
6310240005443442404
714222436611061100
oct1417024475025304
9231465277805514
1053810117749444
1116166819708461
126050917686404
132404370406424
14d405d04ba900
15634ad0a62664
hex30f0a4f42ac4

53810117749444 has 81 divisors (see below), whose sum is σ = 110137083498477. Its totient is φ = 22936877587008.

The previous prime is 53810117749397. The next prime is 53810117749511. The reversal of 53810117749444 is 44494771101835.

The square root of 53810117749444 is 7335538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8803623068100 + 45006494681344 = 2967090^2 + 6708688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20436807552 + ... + 20436810184.

Almost surely, 253810117749444 is an apocalyptic number.

53810117749444 is the 7335538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53810117749444

53810117749444 is an abundant number, since it is smaller than the sum of its proper divisors (56326965749033).

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

53810117749444 is an frugal number, since it uses more digits than its factorization.

53810117749444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 53810117749444 in words is "fifty-three trillion, eight hundred ten billion, one hundred seventeen million, seven hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 199 398 796 1393 2633 2786 5266 5572 9751 10532 18431 19502 36862 39004 39601 73724 79202 129017 158404 258034 277207 516068 523967 554414 1047934 1108828 1940449 2095868 3667769 3880898 6932689 7335538 7761796 13865378 14671076 25674383 27730756 48528823 51348766 97057646 102697532 104269433 194115292 208538866 339701761 417077732 679403522 729886031 1358807044 1379605111 1459772062 2759210222 2919544124 5109202217 5518420444 9657235777 10218404434 19314471554 20436808868 38628943108 67600650439 135201300878 270402601756 274541417089 549082834178 1098165668356 1921789919623 3843579839246 7687159678492 13452529437361 26905058874722 53810117749444