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200434024544 = 25135344320521
BaseRepresentation
bin1011101010101011001…
…1001000000001100000
3201011100120222102020112
42322222303020001200
511240442102241134
6232024512430452
720323641045455
oct2725263100140
9634316872215
10200434024544
1178004866276
1232a18b48428
1315b93214530
1499b59c182c
1553316091ce
hex2eaacc8060

200434024544 has 96 divisors (see below), whose sum is σ = 433975286304. Its totient is φ = 90553282560.

The previous prime is 200434024543. The next prime is 200434024577. The reversal of 200434024544 is 445420434002.

200434024544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 200434024544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200434024543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9757004 + ... + 9777524.

It is an arithmetic number, because the mean of its divisors is an integer number (4520575899).

Almost surely, 2200434024544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200434024544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216987643152).

200434024544 is an abundant number, since it is smaller than the sum of its proper divisors (233541261760).

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

200434024544 is a wasteful number, since it uses less digits than its factorization.

200434024544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21040 (or 21032 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 200434024544 its reverse (445420434002), we get a palindrome (645854458546).

The spelling of 200434024544 in words is "two hundred billion, four hundred thirty-four million, twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 443 689 848 886 1378 1696 1772 2756 3544 5512 5759 7088 11024 11518 14176 20521 22048 23036 23479 41042 46072 46958 82084 92144 93916 164168 184288 187832 266773 305227 328336 375664 533546 610454 656672 751328 1067092 1087613 1220908 2134184 2175226 2441816 4268368 4350452 4883632 8536736 8700904 9090803 9767264 14138969 17401808 18181606 28277938 34803616 36363212 56555876 72726424 113111752 118180439 145452848 226223504 236360878 290905696 452447008 472721756 481812559 945443512 963625118 1890887024 1927250236 3781774048 3854500472 6263563267 7709000944 12527126534 15418001888 25054253068 50108506136 100217012272 200434024544