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20020264020 = 22335257144259
BaseRepresentation
bin10010101001010011…
…001111110001010100
31220200020122210021000
4102221103033301110
5312000141422040
613110331423300
71306056302451
oct225123176124
956606583230
1020020264020
118543a0a749
123a688b4b30
131b70951293
14d7cc7c828
157c2920130
hex4a94cfc54

20020264020 has 96 divisors (see below), whose sum is σ = 62528054400. Its totient is φ = 5317926912.

The previous prime is 20020264007. The next prime is 20020264027. The reversal of 20020264020 is 2046202002.

It is a happy number.

20020264020 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 2 + 640 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20020263984 and 20020264002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020264027) 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 31 ways as a sum of consecutive naturals, for example, 66651 + ... + 210909.

It is an arithmetic number, because the mean of its divisors is an integer number (651333900).

Almost surely, 220020264020 is an apocalyptic number.

20020264020 is a gapful number since it is divisible by the number (20) 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 20020264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31264027200).

20020264020 is an abundant number, since it is smaller than the sum of its proper divisors (42507790380).

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

20020264020 is a wasteful number, since it uses less digits than its factorization.

20020264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144534 (or 144526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20020264020 its reverse (2046202002), we get a palindrome (22066466022).

The spelling of 20020264020 in words is "twenty billion, twenty million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 6939 7710 9252 11565 13878 15420 23130 27756 34695 46260 69390 138780 144259 288518 432777 577036 721295 865554 1298331 1442590 1731108 2163885 2596662 2885180 3894993 4327770 5193324 6491655 7789986 8655540 12983310 15579972 19474965 25966620 37074563 38949930 74149126 77899860 111223689 148298252 185372815 222447378 333671067 370745630 444894756 556118445 667342134 741491260 1001013201 1112236890 1334684268 1668355335 2002026402 2224473780 3336710670 4004052804 5005066005 6673421340 10010132010 20020264020