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20414442204 = 223313210310859
BaseRepresentation
bin10011000000110010…
…111010101011011100
31221200201101010002000
4103000302322223130
5313302044122304
613213412202300
71321613616132
oct230062725334
957621333060
1020414442204
118726469642
123b58909390
131c04504a00
14db9369752
157e7333939
hex4c0cbaadc

20414442204 has 144 divisors (see below), whose sum is σ = 57872505600. Its totient is φ = 6219809856.

The previous prime is 20414442173. The next prime is 20414442211. The reversal of 20414442204 is 40224441402.

20414442204 is a `hidden beast` number, since 2 + 0 + 4 + 14 + 442 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1874527 + ... + 1885385.

It is an arithmetic number, because the mean of its divisors is an integer number (401892400).

Almost surely, 220414442204 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 20414442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28936252800).

20414442204 is an abundant number, since it is smaller than the sum of its proper divisors (37458063396).

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

20414442204 is a wasteful number, since it uses less digits than its factorization.

20414442204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20414442204 its reverse (40224441402), we get a palindrome (60638883606).

The spelling of 20414442204 in words is "twenty billion, four hundred fourteen million, four hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 103 108 117 156 169 206 234 309 338 351 412 468 507 618 676 702 927 1014 1236 1339 1404 1521 1854 2028 2678 2781 3042 3708 4017 4563 5356 5562 6084 8034 9126 10859 11124 12051 16068 17407 18252 21718 24102 32577 34814 36153 43436 48204 52221 65154 69628 72306 97731 104442 130308 141167 144612 156663 195462 208884 282334 293193 313326 390924 423501 469989 564668 586386 626652 847002 939978 1118477 1172772 1270503 1694004 1835171 1879956 2236954 2541006 3355431 3670342 3811509 4473908 5082012 5505513 6710862 7340684 7623018 10066293 11011026 13421724 14540201 15246036 16516539 20132586 22022052 29080402 30198879 33033078 40265172 43620603 49549617 58160804 60397758 66066156 87241206 99099234 120795516 130861809 174482412 189022613 198198468 261723618 378045226 392585427 523447236 567067839 756090452 785170854 1134135678 1570341708 1701203517 2268271356 3402407034 5103610551 6804814068 10207221102 20414442204