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20411033344 = 281329613467
BaseRepresentation
bin10011000000100101…
…111010011100000000
31221200110221220222221
4103000211322130000
5313300211031334
613213211140424
71321542630562
oct230045723400
957613856887
1020411033344
1187245504a9
123b57744714
131c038b0230
14db8b1d332
157e6dad8b4
hex4c097a700

20411033344 has 144 divisors (see below), whose sum is σ = 46146733920. Its totient is φ = 8943943680.

The previous prime is 20411033341. The next prime is 20411033371. The reversal of 20411033344 is 44333011402.

It is a super-2 number, since 2×204110333442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411033341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5885499 + ... + 5888965.

It is an arithmetic number, because the mean of its divisors is an integer number (320463430).

Almost surely, 220411033344 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 20411033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073366960).

20411033344 is an abundant number, since it is smaller than the sum of its proper divisors (25735700576).

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

20411033344 is a wasteful number, since it uses less digits than its factorization.

20411033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20411033344 its reverse (44333011402), we get a palindrome (64744044746).

The spelling of 20411033344 in words is "twenty billion, four hundred eleven million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 61 64 104 116 122 128 208 232 244 256 377 416 464 488 754 793 832 928 976 1508 1586 1664 1769 1856 1952 3016 3172 3328 3467 3538 3712 3904 6032 6344 6934 7076 7424 7808 12064 12688 13868 14152 15616 22997 24128 25376 27736 28304 45071 45994 48256 50752 55472 56608 90142 91988 96512 100543 101504 110944 113216 180284 183976 201086 203008 211487 221888 226432 360568 367952 402172 422974 443776 452864 721136 735904 804344 845948 887552 1307059 1442272 1471808 1608688 1691896 2614118 2749331 2884544 2943616 3217376 3383792 5228236 5498662 5769088 5887232 6133123 6434752 6767584 10456472 10997324 11538176 12266246 12869504 13535168 20912944 21994648 24532492 25739008 27070336 41825888 43989296 49064984 54140672 79730599 83651776 87978592 98129968 159461198 167303552 175957184 196259936 318922396 334607104 351914368 392519872 637844792 703828736 785039744 1275689584 1570079488 2551379168 5102758336 10205516672 20411033344