Search a number
-
+
20053142523520 = 27537846838789
BaseRepresentation
bin1001000111100111111000…
…11011111100111010000000
32122000001122222111102010121
410203303330123330322000
510112022313441223040
6110352141514510024
74136535365020531
oct443637433747200
978001588442117
1020053142523520
116431543196567
1222ba524a35314
13b26007119b22
144d4812094688
1524b965573c4a
hex123cfc6fce80

20053142523520 has 64 divisors (see below), whose sum is σ = 49235207250600. Its totient is φ = 7804466270208.

The previous prime is 20053142523373. The next prime is 20053142523521. The reversal of 20053142523520 is 2532524135002.

It can be written as a sum of positive squares in 4 ways, for example, as 19979684178496 + 73458345024 = 4469864^2 + 271032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20053142523521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423395715 + ... + 423443074.

Almost surely, 220053142523520 is an apocalyptic number.

20053142523520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20053142523520 is an abundant number, since it is smaller than the sum of its proper divisors (29182064727080).

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

20053142523520 is an equidigital number, since it uses as much as digits as its factorization.

20053142523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846838845 (or 846838833 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 20053142523520 its reverse (2532524135002), we get a palindrome (22585666658522).

The spelling of 20053142523520 in words is "twenty trillion, fifty-three billion, one hundred forty-two million, five hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 23680 846838789 1693677578 3387355156 4234193945 6774710312 8468387890 13549420624 16936775780 27098841248 31333035193 33873551560 54197682496 62666070386 67747103120 108395364992 125332140772 135494206240 156665175965 250664281544 270988412480 313330351930 501328563088 541976824960 626660703860 1002657126176 1253321407720 2005314252352 2506642815440 4010628504704 5013285630880 10026571261760 20053142523520