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20404443312 = 24321189144737
BaseRepresentation
bin10011000000001100…
…110001100010110000
31221200000120010011200
4103000030301202300
5313242014141222
613212414011200
71321432622631
oct230014614260
957600503150
1020404443312
11872085a2a0
123b554a6b00
131c024137c6
14db7cc5888
157e650aeac
hex4c03318b0

20404443312 has 120 divisors (see below), whose sum is σ = 62995767120. Its totient is φ = 6113648640.

The previous prime is 20404443287. The next prime is 20404443329. The reversal of 20404443312 is 21334440402.

It is a happy number.

20404443312 is a `hidden beast` number, since 204 + 0 + 4 + 443 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68608 + ... + 213344.

It is an arithmetic number, because the mean of its divisors is an integer number (524964726).

Almost surely, 220404443312 is an apocalyptic number.

20404443312 is a gapful number since it is divisible by the number (22) 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 20404443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497883560).

20404443312 is an abundant number, since it is smaller than the sum of its proper divisors (42591323808).

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

20404443312 is a wasteful number, since it uses less digits than its factorization.

20404443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144851 (or 144842 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20404443312 its reverse (21334440402), we get a palindrome (41738883714).

The spelling of 20404443312 in words is "twenty billion, four hundred four million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 528 534 712 792 801 979 1068 1424 1584 1602 1958 2136 2937 3204 3916 4272 5874 6408 7832 8811 11748 12816 15664 17622 23496 35244 46992 70488 140976 144737 289474 434211 578948 868422 1157896 1302633 1592107 1736844 2315792 2605266 3184214 3473688 4776321 5210532 6368428 6947376 9552642 10421064 12736856 12881593 14328963 19105284 20842128 25473712 25763186 28657926 38210568 38644779 51526372 57315852 76421136 77289558 103052744 114631704 115934337 141697523 154579116 206105488 229263408 231868674 283395046 309158232 425092569 463737348 566790092 618316464 850185138 927474696 1133580184 1275277707 1700370276 1854949392 2267160368 2550555414 3400740552 5101110828 6801481104 10202221656 20404443312