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20531322444 = 22329315932257
BaseRepresentation
bin10011000111110000…
…110001111001001100
31221222212022020121210
4103013300301321030
5314022004304234
613233145254420
71324533234633
oct230760617114
957885266553
1020531322444
11878643a486
123b8ba94410
131c227a8909
14dcaab251a
1580271ebe9
hex4c7c31e4c

20531322444 has 96 divisors (see below), whose sum is σ = 52025702400. Its totient is φ = 6286049280.

The previous prime is 20531322443. The next prime is 20531322463. The reversal of 20531322444 is 44422313502.

It is not an unprimeable number, because it can be changed into a prime (20531322443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620364 + ... + 652620.

It is an arithmetic number, because the mean of its divisors is an integer number (541934400).

Almost surely, 220531322444 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 20531322444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012851200).

20531322444 is an abundant number, since it is smaller than the sum of its proper divisors (31494379956).

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

20531322444 is a wasteful number, since it uses less digits than its factorization.

20531322444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32383 (or 32381 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20531322444 its reverse (44422313502), we get a palindrome (64953635946).

The spelling of 20531322444 in words is "twenty billion, five hundred thirty-one million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 31 58 59 62 87 93 116 118 124 174 177 186 236 348 354 372 708 899 1711 1798 1829 2697 3422 3596 3658 5133 5394 5487 6844 7316 10266 10788 10974 20532 21948 32257 53041 64514 96771 106082 129028 159123 193542 212164 318246 387084 636492 935453 999967 1870906 1903163 1999934 2806359 2999901 3741812 3806326 3999868 5612718 5709489 5999802 7612652 11225436 11418978 11999604 22837956 28999043 55191727 57998086 58998053 86997129 110383454 115996172 117996106 165575181 173994258 176994159 220766908 235992212 331150362 347988516 353988318 662300724 707976636 1710943537 3421887074 5132830611 6843774148 10265661222 20531322444