Search a number
-
+
52780553005000 = 235486471220783
BaseRepresentation
bin11000000000000111011100…
…00111001110011111001000
320220212202211111012011002111
430000003232013032133020
523404224033032130000
6304131015030112104
714055161210122612
oct1400035607163710
9226782744164074
1052780553005000
11158aa11a204477
125b052844ab634
13235b252cac282
14d06841769db2
15617e239ebcba
hex3000ee1ce7c8

52780553005000 has 80 divisors (see below), whose sum is σ = 123679238474880. Its totient is φ = 21109762344000.

The previous prime is 52780553004941. The next prime is 52780553005007. The reversal of 52780553005000 is 50035508725.

It is a happy number.

It is a super-2 number, since 2×527805530050002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (52780553005007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42624609 + ... + 43845391.

It is an arithmetic number, because the mean of its divisors is an integer number (1545990480936).

Almost surely, 252780553005000 is an apocalyptic number.

52780553005000 is a gapful number since it is divisible by the number (50) 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 52780553005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61839619237440).

52780553005000 is an abundant number, since it is smaller than the sum of its proper divisors (70898685469880).

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

52780553005000 is a wasteful number, since it uses less digits than its factorization.

52780553005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229456 (or 1229437 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 52780553005000 in words is "fifty-two trillion, seven hundred eighty billion, five hundred fifty-three million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8647 17294 34588 43235 69176 86470 172940 216175 345880 432350 864700 1080875 1220783 1729400 2161750 2441566 4323500 4883132 5404375 6103915 8647000 9766264 10808750 12207830 21617500 24415660 30519575 43235000 48831320 61039150 122078300 152597875 244156600 305195750 610391500 762989375 1220783000 1525978750 3051957500 6103915000 10556110601 21112221202 42224442404 52780553005 84448884808 105561106010 211122212020 263902765025 422244424040 527805530050 1055611060100 1319513825125 2111222120200 2639027650250 5278055300500 6597569125625 10556110601000 13195138251250 26390276502500 52780553005000