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20328781760 = 265753171233
BaseRepresentation
bin10010111011101100…
…001001011111000000
31221110202012010000222
4102323230021133000
5313113132004020
613201112202212
71316523536210
oct227354113700
957422163028
1020328781760
118692081691
123b34099368
131bbc842061
14dabc2c240
157dea62b25
hex4bbb097c0

20328781760 has 112 divisors (see below), whose sum is σ = 56367493056. Its totient is φ = 6838321152.

The previous prime is 20328781673. The next prime is 20328781769. The reversal of 20328781760 is 6718782302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20328781769) 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 15 ways as a sum of consecutive naturals, for example, 33104 + ... + 204336.

It is an arithmetic number, because the mean of its divisors is an integer number (503281188).

Almost surely, 220328781760 is an apocalyptic number.

20328781760 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 20328781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28183746528).

20328781760 is an abundant number, since it is smaller than the sum of its proper divisors (36038711296).

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

20328781760 is a wasteful number, since it uses less digits than its factorization.

20328781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171310 (or 171300 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 20328781760 in words is "twenty billion, three hundred twenty-eight million, seven hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 1060 1120 1484 1696 1855 2120 2240 2968 3392 3710 4240 5936 7420 8480 11872 14840 16960 23744 29680 59360 118720 171233 342466 684932 856165 1198631 1369864 1712330 2397262 2739728 3424660 4794524 5479456 5993155 6849320 9075349 9589048 10958912 11986310 13698640 18150698 19178096 23972620 27397280 36301396 38356192 45376745 47945240 54794560 63527443 72602792 76712384 90753490 95890480 127054886 145205584 181506980 191780960 254109772 290411168 317637215 363013960 383561920 508219544 580822336 635274430 726027920 1016439088 1270548860 1452055840 2032878176 2541097720 2904111680 4065756352 5082195440 10164390880 20328781760