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20646555552 = 2532747217901
BaseRepresentation
bin10011001110101000…
…010110111110100000
31222021220010200201200
4103032220112332200
5314241004234202
613252423201200
71330432553340
oct231650267640
958256120650
1020646555552
118835495857
1240025a6200
131c40623b9c
14ddc10ad20
1580c8d2e1c
hex4cea16fa0

20646555552 has 144 divisors (see below), whose sum is σ = 68529307392. Its totient is φ = 5773478400.

The previous prime is 20646555533. The next prime is 20646555557. The reversal of 20646555552 is 25555564602.

20646555552 is a `hidden beast` number, since 2 + 0 + 6 + 46 + 5 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 20646555498 and 20646555507.

It is not an unprimeable number, because it can be changed into a prime (20646555557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14199 + ... + 203702.

It is an arithmetic number, because the mean of its divisors is an integer number (475897968).

Almost surely, 220646555552 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 20646555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34264653696).

20646555552 is an abundant number, since it is smaller than the sum of its proper divisors (47882751840).

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

20646555552 is a wasteful number, since it uses less digits than its factorization.

20646555552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217971 (or 217960 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 20646555552 in words is "twenty billion, six hundred forty-six million, five hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 47376 94752 217901 435802 653703 871604 1307406 1525307 1743208 1961109 2614812 3050614 3486416 3922218 4575921 5229624 6101228 6972832 7844436 9151842 10241347 10459248 12202456 13727763 15688872 18303684 20482694 20918496 24404912 27455526 30724041 31377744 36607368 40965388 48809824 54911052 61448082 62755488 71689429 73214736 81930776 92172123 109822104 122896164 143378858 146429472 163861552 184344246 215068287 219644208 245792328 286757716 327723104 368688492 430136574 439288416 491584656 573515432 645204861 737376984 860273148 983169312 1147030864 1290409722 1474753968 1720546296 2294061728 2580819444 2949507936 3441092592 5161638888 6882185184 10323277776 20646555552