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20132316484 = 2272331532359
BaseRepresentation
bin10010101111111110…
…101100010101000100
31220222001111122100021
4102233332230111010
5312212333111414
613125413224524
71311616603150
oct225776542504
956861448307
1020132316484
1185a1193395
123a9a332144
131b8ac24907
14d8daca060
157cc6a5c24
hex4affac544

20132316484 has 144 divisors (see below), whose sum is σ = 44327485440. Its totient is φ = 7814252160.

The previous prime is 20132316439. The next prime is 20132316493. The reversal of 20132316484 is 48461323102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56078697 + ... + 56079055.

It is an arithmetic number, because the mean of its divisors is an integer number (307829760).

Almost surely, 220132316484 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 20132316484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22163742720).

20132316484 is an abundant number, since it is smaller than the sum of its proper divisors (24195168956).

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

20132316484 is a wasteful number, since it uses less digits than its factorization.

20132316484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 20132316484 its reverse (48461323102), we get a palindrome (68593639586).

The spelling of 20132316484 in words is "twenty billion, one hundred thirty-two million, three hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 31 46 53 62 92 106 124 161 212 217 322 359 371 434 644 713 718 742 868 1219 1426 1436 1484 1643 2438 2513 2809 2852 3286 4876 4991 5026 5618 6572 8257 8533 9982 10052 11129 11236 11501 16514 17066 19027 19663 19964 22258 23002 33028 34132 37789 38054 39326 44516 46004 57799 64607 75578 76108 77903 78652 87079 115598 129214 133189 151156 155806 174158 231196 255967 258428 264523 266378 311612 348316 437621 452249 511934 529046 532756 589837 609553 875242 904498 1008431 1023868 1058092 1179674 1219106 1750484 1791769 1808996 2002817 2016862 2359348 2438212 3063347 3583538 4005634 4033724 4128859 6126694 7059017 7167076 8011268 8257718 12253388 13566251 14019719 14118034 16515436 23193913 27132502 28039438 28236068 31261361 46387826 54265004 56078876 62522722 92775652 94963757 125045444 162357391 189927514 218829527 324714782 379855028 437659054 649429564 719011303 875318108 1438022606 2876045212 5033079121 10066158242 20132316484