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20655451320 = 23357129718959
BaseRepresentation
bin10011001111001010…
…010010110010111000
31222022111212122102120
4103033022102302320
5314300243420240
613253342001240
71330601303460
oct231712226270
958274778376
1020655451320
11883a511329
124005576220
131c42419c5a
14ddd384ba0
1580d58dad0
hex4cf292cb8

20655451320 has 128 divisors (see below), whose sum is σ = 70877030400. Its totient is φ = 4717357056.

The previous prime is 20655451303. The next prime is 20655451321. The reversal of 20655451320 is 2315455602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20655451321) 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 31 ways as a sum of consecutive naturals, for example, 1080001 + ... + 1098959.

It is an arithmetic number, because the mean of its divisors is an integer number (553726800).

Almost surely, 220655451320 is an apocalyptic number.

20655451320 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 20655451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35438515200).

20655451320 is an abundant number, since it is smaller than the sum of its proper divisors (50221579080).

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

20655451320 is a wasteful number, since it uses less digits than its factorization.

20655451320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 20655451320 in words is "twenty billion, six hundred fifty-five million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1297 2594 3891 5188 6485 7782 9079 10376 12970 15564 18158 18959 19455 25940 27237 31128 36316 37918 38910 45395 51880 54474 56877 72632 75836 77820 90790 94795 108948 113754 132713 136185 151672 155640 181580 189590 217896 227508 265426 272370 284385 363160 379180 398139 455016 530852 544740 568770 663565 758360 796278 1061704 1089480 1137540 1327130 1592556 1990695 2275080 2654260 3185112 3981390 5308520 7962780 15925560 24589823 49179646 73769469 98359292 122949115 147538938 172128761 196718584 245898230 295077876 344257522 368847345 491796460 516386283 590155752 688515044 737694690 860643805 983592920 1032772566 1377030088 1475389380 1721287610 2065545132 2581931415 2950778760 3442575220 4131090264 5163862830 6885150440 10327725660 20655451320