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205421523444 = 223311325167061
BaseRepresentation
bin1011111101010000010…
…0111011000111110100
3201122020011211121112000
42333110010323013310
511331200402222234
6234211440055300
720561352065544
oct2772404730764
9648204747460
10205421523444
117a134104a95
123398b304530
13164a95b7007
149d2a14b324
1555243e1899
hex2fd413b1f4

205421523444 has 96 divisors (see below), whose sum is σ = 539435998080. Its totient is φ = 67596480000.

The previous prime is 205421523431. The next prime is 205421523457. The reversal of 205421523444 is 444325124502.

205421523444 is a `hidden beast` number, since 20 + 5 + 42 + 152 + 3 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (205421523431) and next prime (205421523457).

It is a super-2 number, since 2×2054215234442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205421523399 and 205421523408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029674 + ... + 3096734.

It is an arithmetic number, because the mean of its divisors is an integer number (5619124980).

Almost surely, 2205421523444 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 205421523444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269717999040).

205421523444 is an abundant number, since it is smaller than the sum of its proper divisors (334014474636).

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

205421523444 is a wasteful number, since it uses less digits than its factorization.

205421523444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67438 (or 67430 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 205421523444 its reverse (444325124502), we get a palindrome (649746647946).

The spelling of 205421523444 in words is "two hundred five billion, four hundred twenty-one million, five hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 251 339 452 502 678 753 1004 1017 1356 1506 2034 2259 3012 3051 4068 4518 6102 6777 9036 12204 13554 27108 28363 56726 67061 85089 113452 134122 170178 201183 255267 268244 340356 402366 510534 603549 765801 804732 1021068 1207098 1531602 1810647 2414196 3063204 3621294 7242588 7577893 15155786 16832311 22733679 30311572 33664622 45467358 50496933 67329244 68201037 90934716 100993866 136402074 151490799 201987732 204603111 272804148 302981598 409206222 454472397 605963196 818412444 908944794 1817889588 1902051143 3804102286 5706153429 7608204572 11412306858 17118460287 22824613716 34236920574 51355380861 68473841148 102710761722 205421523444