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20104210584 = 23335311315541
BaseRepresentation
bin10010101110010011…
…011110100010011000
31220220002121201022000
4102232103132202120
5312133134214314
613122531001000
71311125653563
oct225623364230
956802551260
1020104210584
118587336a77
123a90a39160
131b85163ac3
14d8a0914da
157c9ea3209
hex4ae4de898

20104210584 has 128 divisors (see below), whose sum is σ = 57405931200. Its totient is φ = 6516357120.

The previous prime is 20104210579. The next prime is 20104210627. The reversal of 20104210584 is 48501240102.

20104210584 is a `hidden beast` number, since 20 + 10 + 42 + 10 + 584 = 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 31 ways as a sum of consecutive naturals, for example, 1285854 + ... + 1301394.

Almost surely, 220104210584 is an apocalyptic number.

20104210584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104210584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28702965600).

20104210584 is an abundant number, since it is smaller than the sum of its proper divisors (37301720616).

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

20104210584 is a wasteful number, since it uses less digits than its factorization.

20104210584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15712 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 20104210584 its reverse (48501240102), we get a palindrome (68605450686).

The spelling of 20104210584 in words is "twenty billion, one hundred four million, two hundred ten thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 113 159 212 216 226 318 339 424 452 477 636 678 904 954 1017 1272 1356 1431 1908 2034 2712 2862 3051 3816 4068 5724 5989 6102 8136 11448 11978 12204 15541 17967 23956 24408 31082 35934 46623 47912 53901 62164 71868 93246 107802 124328 139869 143736 161703 186492 215604 279738 323406 372984 419607 431208 559476 646812 823673 839214 1118952 1293624 1647346 1678428 1756133 2471019 3294692 3356856 3512266 4942038 5268399 6589384 7024532 7413057 9884076 10536798 14049064 14826114 15805197 19768152 21073596 22239171 29652228 31610394 42147192 44478342 47415591 59304456 63220788 88956684 93075049 94831182 126441576 177913368 186150098 189662364 279225147 372300196 379324728 558450294 744600392 837675441 1116900588 1675350882 2233801176 2513026323 3350701764 5026052646 6701403528 10052105292 20104210584