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20023312032 = 25321923159097
BaseRepresentation
bin10010101001011110…
…110111111010100000
31220200110101122100100
4102221132313322200
5312001431441112
613110521022400
71306124226003
oct225136677240
956613348310
1020023312032
118545701769
123a69924a00
131b7147a739
14d7d43353a
157c2d232dc
hex4a97b7ea0

20023312032 has 144 divisors (see below), whose sum is σ = 62544605760. Its totient is φ = 6048193536.

The previous prime is 20023312031. The next prime is 20023312039. The reversal of 20023312032 is 23021332002.

It is a happy number.

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

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 = 20023311996 and 20023312014.

It is not an unprimeable number, because it can be changed into a prime (20023312031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46308 + ... + 205404.

It is an arithmetic number, because the mean of its divisors is an integer number (434337540).

Almost surely, 220023312032 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 20023312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31272302880).

20023312032 is an abundant number, since it is smaller than the sum of its proper divisors (42521293728).

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

20023312032 is a wasteful number, since it uses less digits than its factorization.

20023312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159155 (or 159144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20023312032 its reverse (23021332002), we get a palindrome (43044644034).

The spelling of 20023312032 in words is "twenty billion, twenty-three million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 684 736 828 874 912 1104 1311 1368 1656 1748 1824 2208 2622 2736 3312 3496 3933 5244 5472 6624 6992 7866 10488 13984 15732 20976 31464 41952 62928 125856 159097 318194 477291 636388 954582 1272776 1431873 1909164 2545552 2863746 3022843 3659231 3818328 5091104 5727492 6045686 7318462 7636656 9068529 10977693 11454984 12091372 14636924 15273312 18137058 21955386 22909968 24182744 27205587 29273848 32933079 36274116 43910772 45819936 48365488 54411174 58547696 65866158 69525389 72548232 87821544 96730976 108822348 117095392 131732316 139050778 145096464 175643088 208576167 217644696 263464632 278101556 290192928 351286176 417152334 435289392 526929264 556203112 625728501 834304668 870578784 1053858528 1112406224 1251457002 1668609336 2224812448 2502914004 3337218672 5005828008 6674437344 10011656016 20023312032