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4420266620244 = 22323371871231347
BaseRepresentation
bin100000001010010110001…
…1010111111010101010100
3120122120110222111001101120
41000110230122333111110
51034410201223321434
613222350434123540
7634232220224406
oct100245432772524
916576428431346
104420266620244
1114546962a87a2
125b48164205b0
13260aa2123057
14113d28d8cb76
1579eabc38349
hex4052c6bf554

4420266620244 has 96 divisors (see below), whose sum is σ = 11059219132416. Its totient is φ = 1370530719360.

The previous prime is 4420266620239. The next prime is 4420266620249.

It is a happy number.

4420266620244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4420266620239) and next prime (4420266620249).

It is a junction number, because it is equal to n+sod(n) for n = 4420266620196 and 4420266620205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420266620249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18990979 + ... + 19222325.

It is an arithmetic number, because the mean of its divisors is an integer number (115200199296).

Almost surely, 24420266620244 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 4420266620244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529609566208).

4420266620244 is an abundant number, since it is smaller than the sum of its proper divisors (6638952512172).

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

4420266620244 is a wasteful number, since it uses less digits than its factorization.

4420266620244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233285 (or 233283 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 4420266620244 in words is "four trillion, four hundred twenty billion, two hundred sixty-six million, six hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 1871 2553 3404 3742 5106 5613 7484 10212 11226 22452 43033 69227 86066 129099 138454 172132 207681 231347 258198 276908 415362 462694 516396 694041 830724 925388 1388082 1592221 2776164 3184442 4776663 5320981 6368884 8559839 9553326 10641962 15962943 17119678 19106652 21283924 25679517 31925886 34239356 51359034 63851772 102718068 196876297 393752594 432850237 590628891 787505188 865700474 1181257782 1298550711 1731400948 2362515564 2597101422 5194202844 9955555451 16015458769 19911110902 29866666353 32030917538 39822221804 48046376307 59733332706 64061835076 96092752614 119466665412 192185505228 368355551687 736711103374 1105066655061 1473422206748 2210133310122 4420266620244