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20384457444 = 2232131722711287
BaseRepresentation
bin10010111111000000…
…100010001011100100
31221121121221201201100
4102333000202023210
5313221410114234
613210421400100
71321101013041
oct227700421344
957547851640
1020384457444
11871054964a
123b4a869030
131bcb236950
14db53a21c8
157e48ae399
hex4bf0222e4

20384457444 has 144 divisors (see below), whose sum is σ = 59019262848. Its totient is φ = 5876665344.

The previous prime is 20384457421. The next prime is 20384457473. The reversal of 20384457444 is 44475448302.

20384457444 is a `hidden beast` number, since 2 + 0 + 38 + 4 + 4 + 574 + 44 = 666.

It is a super-2 number, since 2×203844574442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20384457444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800369 + ... + 1811655.

It is an arithmetic number, because the mean of its divisors is an integer number (409855992).

Almost surely, 220384457444 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 20384457444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29509631424).

20384457444 is an abundant number, since it is smaller than the sum of its proper divisors (38634805404).

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

20384457444 is a wasteful number, since it uses less digits than its factorization.

20384457444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 20384457444 in words is "twenty billion, three hundred eighty-four million, four hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 227 234 306 442 454 468 612 663 681 884 908 1326 1362 1989 2043 2652 2724 2951 3859 3978 4086 5902 7718 7956 8172 8853 11287 11577 11804 15436 17706 22574 23154 26559 33861 34731 35412 45148 46308 50167 53118 67722 69462 100334 101583 106236 135444 138924 146731 150501 191879 200668 203166 293462 301002 383758 406332 440193 451503 575637 586924 602004 767516 880386 903006 1151274 1320579 1726911 1760772 1806012 2302548 2494427 2562149 2641158 3453822 4988854 5124298 5282316 6907644 7483281 7686447 9977708 10248596 14966562 15372894 22449843 23059341 29933124 30745788 33307937 43556533 44899686 46118682 66615874 87113066 89799372 92237364 99923811 130669599 133231748 174226132 199847622 261339198 299771433 392008797 399695244 522678396 566234929 599542866 784017594 1132469858 1199085732 1568035188 1698704787 2264939716 3397409574 5096114361 6794819148 10192228722 20384457444