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20320344320 = 285107148367
BaseRepresentation
bin10010111011001011…
…111101100100000000
31221110011022110001012
4102323023331210000
5313104002004240
613200211300052
71316362035233
oct227313754400
957404273035
1020320344320
1186883394a1
123b312aa628
131bbab797a3
14daaa7341a
157dde47b65
hex4bb2fd900

20320344320 has 72 divisors (see below), whose sum is σ = 49128799104. Its totient is φ = 8052119552.

The previous prime is 20320344301. The next prime is 20320344347. The reversal of 20320344320 is 2344302302.

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 7 ways as a sum of consecutive naturals, for example, 62777 + ... + 211143.

It is an arithmetic number, because the mean of its divisors is an integer number (682344432).

Almost surely, 220320344320 is an apocalyptic number.

20320344320 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 20320344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564399552).

20320344320 is an abundant number, since it is smaller than the sum of its proper divisors (28808454784).

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

20320344320 is a wasteful number, since it uses less digits than its factorization.

20320344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148495 (or 148481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 20320344320 its reverse (2344302302), we get a palindrome (22664646622).

The spelling of 20320344320 in words is "twenty billion, three hundred twenty million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 535 640 856 1070 1280 1712 2140 3424 4280 6848 8560 13696 17120 27392 34240 68480 136960 148367 296734 593468 741835 1186936 1483670 2373872 2967340 4747744 5934680 9495488 11869360 15875269 18990976 23738720 31750538 37981952 47477440 63501076 79376345 94954880 127002152 158752690 189909760 254004304 317505380 508008608 635010760 1016017216 1270021520 2032034432 2540043040 4064068864 5080086080 10160172160 20320344320