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20441796304 = 24193171137223
BaseRepresentation
bin10011000010011011…
…010000111011010000
31221202121211211211211
4103002123100323100
5313331044440204
613220230345504
71322365254526
oct230233207320
957677754754
1020441796304
11873a952136
123b65abb294
131c0a091577
14dbcc4a316
157e9938804
hex4c26d0ed0

20441796304 has 160 divisors (see below), whose sum is σ = 44157173760. Its totient is φ = 9130060800.

The previous prime is 20441796293. The next prime is 20441796313. The reversal of 20441796304 is 40369714402.

It is a super-2 number, since 2×204417963042 (a number of 21 digits) contains 22 as substring.

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, 91667137 + ... + 91667359.

It is an arithmetic number, because the mean of its divisors is an integer number (275982336).

Almost surely, 220441796304 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 20441796304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078586880).

20441796304 is an abundant number, since it is smaller than the sum of its proper divisors (23715377456).

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

20441796304 is a wasteful number, since it uses less digits than its factorization.

20441796304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 20441796304 in words is "twenty billion, four hundred forty-one million, seven hundred ninety-six thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 71 76 124 137 142 152 223 248 274 284 304 446 496 548 568 589 892 1096 1136 1178 1349 1784 2192 2201 2356 2603 2698 3568 4237 4247 4402 4712 5206 5396 6913 8474 8494 8804 9424 9727 10412 10792 13826 15833 16948 16988 17608 19454 20824 21584 27652 30551 31666 33896 33976 35216 38908 41648 41819 55304 61102 63332 67792 67952 77816 80693 83638 110608 122204 126664 131347 155632 161386 167276 184813 244408 253328 262694 300827 301537 322772 334552 369626 488816 490823 525388 580469 601654 603074 645544 669104 739252 947081 981646 1050776 1160938 1203308 1206148 1291088 1478504 1894162 1963292 2101552 2169121 2321876 2406616 2412296 2957008 3788324 3926584 4338242 4643752 4813232 4824592 5729203 7576648 7853168 8676484 9287504 9325637 11458406 15153296 17352968 17994539 18651274 22916812 34705936 35989078 37302548 41213299 45833624 67242751 71978156 74605096 82426598 91667248 134485502 143956312 149210192 164853196 268971004 287912624 329706392 537942008 659412784 1075884016 1277612269 2555224538 5110449076 10220898152 20441796304