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20412213444 = 22327714312647
BaseRepresentation
bin10011000000101010…
…011010100011000100
31221200120011212210100
4103000222122203010
5313301011312234
613213252324100
71321555644240
oct230052324304
957616155710
1020412213444
118725187097
123b58013630
131c03c0440c
14db8d49420
157e7043399
hex4c0a9a8c4

20412213444 has 144 divisors (see below), whose sum is σ = 59960549376. Its totient is φ = 5734411200.

The previous prime is 20412213431. The next prime is 20412213461. The reversal of 20412213444 is 44431221402.

20412213444 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 213 + 444 = 666.

It is a super-2 number, since 2×204122134442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7710129 + ... + 7712775.

It is an arithmetic number, because the mean of its divisors is an integer number (416392704).

Almost surely, 220412213444 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 20412213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29980274688).

20412213444 is an abundant number, since it is smaller than the sum of its proper divisors (39548335932).

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

20412213444 is a wasteful number, since it uses less digits than its factorization.

20412213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20412213444 its reverse (44431221402), we get a palindrome (64843434846).

The spelling of 20412213444 in words is "twenty billion, four hundred twelve million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 431 497 639 852 862 994 1278 1293 1491 1724 1988 2556 2586 2647 2982 3017 3879 4473 5172 5294 5964 6034 7758 7941 8946 9051 10588 12068 15516 15882 17892 18102 18529 23823 27153 30601 31764 36204 37058 47646 54306 55587 61202 74116 91803 95292 108612 111174 122404 166761 183606 187937 214207 222348 275409 333522 367212 375874 428414 550818 563811 642621 667044 751748 856828 1101636 1127622 1140857 1285242 1315559 1691433 1927863 2255244 2281714 2570484 2631118 3382866 3422571 3855726 3946677 4563428 5262236 6765732 6845142 7711452 7893354 7985999 10267713 11840031 13690284 15786708 15971998 20535426 23680062 23957997 31943996 41070852 47360124 47915994 71873991 81000847 95831988 143747982 162001694 243002541 287495964 324003388 486005082 567005929 729007623 972010164 1134011858 1458015246 1701017787 2268023716 2916030492 3402035574 5103053361 6804071148 10206106722 20412213444