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20518834032 = 2433315925969
BaseRepresentation
bin10011000111000001…
…001000111101110000
31221221222210202202000
4103013001020331300
5314010310142112
613232021454000
71324322132364
oct230701107560
957858722660
1020518834032
11877a38a784
123b87871300
131c20025518
14dc91812a4
158015a47dc
hex4c7048f70

20518834032 has 160 divisors (see below), whose sum is σ = 61829376000. Its totient is φ = 6506542080.

The previous prime is 20518834019. The next prime is 20518834057. The reversal of 20518834032 is 23043881502.

20518834032 is a `hidden beast` number, since 20 + 518 + 83 + 40 + 3 + 2 = 666.

It is a super-2 number, since 2×205188340322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777144 + ... + 803112.

It is an arithmetic number, because the mean of its divisors is an integer number (386433600).

Almost surely, 220518834032 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 20518834032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914688000).

20518834032 is an abundant number, since it is smaller than the sum of its proper divisors (41310541968).

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

20518834032 is a wasteful number, since it uses less digits than its factorization.

20518834032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26076 (or 26064 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20518834032 in words is "twenty billion, five hundred eighteen million, eight hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 59 62 72 93 108 118 124 144 177 186 216 236 248 279 354 372 432 472 496 531 558 708 744 837 944 1062 1116 1416 1488 1593 1674 1829 2124 2232 2832 3186 3348 3658 4248 4464 5487 6372 6696 7316 8496 10974 12744 13392 14632 16461 21948 25488 25969 29264 32922 43896 49383 51938 65844 77907 87792 98766 103876 131688 155814 197532 207752 233721 263376 311628 395064 415504 467442 623256 701163 790128 805039 934884 1246512 1402326 1532171 1610078 1869768 2415117 2804652 3064342 3220156 3739536 4596513 4830234 5609304 6128684 6440312 7245351 9193026 9660468 11218608 12257368 12880624 13789539 14490702 18386052 19320936 21736053 24514736 27579078 28981404 36772104 38641872 41368617 43472106 47497301 55158156 57962808 73544208 82737234 86944212 94994602 110316312 115925616 142491903 165474468 173888424 189989204 220632624 284983806 330948936 347776848 379978408 427475709 569967612 661897872 759956816 854951418 1139935224 1282427127 1709902836 2279870448 2564854254 3419805672 5129708508 6839611344 10259417016 20518834032