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20332012032 = 293225117579
BaseRepresentation
bin10010111011111000…
…011110001000000000
31221110222021020010200
4102323320132020000
5313114443341112
613201305325200
71316563152003
oct227370361000
957428236120
1020332012032
118693988632
123b35196800
131bc0403467
14dac42d53a
157dee9ecdc
hex4bbe1e200

20332012032 has 120 divisors (see below), whose sum is σ = 58916697840. Its totient is φ = 6749952000.

The previous prime is 20332012031. The next prime is 20332012061. The reversal of 20332012032 is 23021023302.

It is a happy number.

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 = 20332011996 and 20332012014.

It is not an unprimeable number, because it can be changed into a prime (20332012031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147819 + ... + 1165397.

It is an arithmetic number, because the mean of its divisors is an integer number (490972482).

Almost surely, 220332012032 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 20332012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458348920).

20332012032 is an abundant number, since it is smaller than the sum of its proper divisors (38584685808).

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

20332012032 is a wasteful number, since it uses less digits than its factorization.

20332012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854 (or 17835 counting only the distinct ones).

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

Adding to 20332012032 its reverse (23021023302), we get a palindrome (43353035334).

The spelling of 20332012032 in words is "twenty billion, three hundred thirty-two million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 1004 1152 1506 1536 2008 2259 2304 3012 4016 4518 4608 6024 8032 9036 12048 16064 17579 18072 24096 32128 35158 36144 48192 52737 64256 70316 72288 96384 105474 128512 140632 144576 158211 192768 210948 281264 289152 316422 385536 421896 562528 578304 632844 843792 1125056 1156608 1265688 1687584 2250112 2531376 3375168 4412329 4500224 5062752 6750336 8824658 9000448 10125504 13236987 13500672 17649316 20251008 26473974 27001344 35298632 39710961 40502016 52947948 70597264 79421922 81004032 105895896 141194528 158843844 211791792 282389056 317687688 423583584 564778112 635375376 847167168 1129556224 1270750752 1694334336 2259112448 2541501504 3388668672 5083003008 6777337344 10166006016 20332012032