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20345884320 = 2535178323773
BaseRepresentation
bin10010111100101101…
…011000111010100000
31221111221101000100010
4102330231120322200
5313132021244240
613202522524520
71320122106666
oct227455307240
957457330303
1020345884320
1186a07a3033
123b39966740
131bc324c708
14db0200c36
157e12e0280
hex4bcb58ea0

20345884320 has 96 divisors (see below), whose sum is σ = 64128177792. Its totient is φ = 5422298112.

The previous prime is 20345884309. The next prime is 20345884367. The reversal of 20345884320 is 2348854302.

It is a Cunningham number, because it is equal to 1426392-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 843954 + ... + 867726.

It is an arithmetic number, because the mean of its divisors is an integer number (668001852).

Almost surely, 220345884320 is an apocalyptic number.

20345884320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20345884320 is an abundant number, since it is smaller than the sum of its proper divisors (43782293472).

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

20345884320 is a wasteful number, since it uses less digits than its factorization.

20345884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25574 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 20345884320 in words is "twenty billion, three hundred forty-five million, eight hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1783 3566 5349 7132 8915 10698 14264 17830 21396 23773 26745 28528 35660 42792 47546 53490 57056 71319 71320 85584 95092 106980 118865 142638 142640 171168 190184 213960 237730 285276 285280 356595 380368 427920 475460 570552 713190 760736 855840 950920 1141104 1426380 1901840 2282208 2852760 3803680 5705520 11411040 42387259 84774518 127161777 169549036 211936295 254323554 339098072 423872590 508647108 635808885 678196144 847745180 1017294216 1271617770 1356392288 1695490360 2034588432 2543235540 3390980720 4069176864 5086471080 6781961440 10172942160 20345884320