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20319869304 = 2334719922511
BaseRepresentation
bin10010111011001010…
…001001100101111000
31221110010102022110000
4102323022021211320
5313103341304204
613200153153000
71316355016320
oct227312114570
957403368400
1020319869304
118688044619
123b310bb760
131bbaa41507
14daa98c280
157ddda2039
hex4bb289978

20319869304 has 160 divisors (see below), whose sum is σ = 65374848000. Its totient is φ = 5776246080.

The previous prime is 20319869261. The next prime is 20319869351. The reversal of 20319869304 is 40396891302.

It is a happy number.

20319869304 is a `hidden beast` number, since 20 + 319 + 8 + 6 + 9 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20319869304.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 891409 + ... + 913919.

It is an arithmetic number, because the mean of its divisors is an integer number (408592800).

Almost surely, 220319869304 is an apocalyptic number.

20319869304 is a gapful number since it is divisible by the number (24) 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 20319869304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32687424000).

20319869304 is an abundant number, since it is smaller than the sum of its proper divisors (45054978696).

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

20319869304 is a wasteful number, since it uses less digits than its factorization.

20319869304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22735 (or 22722 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20319869304 in words is "twenty billion, three hundred nineteen million, eight hundred sixty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 199 216 252 324 378 398 504 567 597 648 756 796 1134 1194 1393 1512 1592 1791 2268 2388 2786 3582 4179 4536 4776 5373 5572 7164 8358 10746 11144 12537 14328 16119 16716 21492 22511 25074 32238 33432 37611 42984 45022 50148 64476 67533 75222 90044 100296 112833 128952 135066 150444 157577 180088 202599 225666 270132 300888 315154 405198 451332 472731 540264 607797 630308 810396 902664 945462 1215594 1260616 1418193 1620792 1823391 1890924 2431188 2836386 3646782 3781848 4254579 4479689 4862376 5672772 7293564 8509158 8959378 11345544 12763737 13439067 14587128 17018316 17918756 25527474 26878134 31357823 34036632 35837512 40317201 51054948 53756268 62715646 80634402 94073469 102109896 107512536 120951603 125431292 161268804 188146938 241903206 250862584 282220407 322537608 362854809 376293876 483806412 564440814 725709618 752587752 846661221 967612824 1128881628 1451419236 1693322442 2257763256 2539983663 2902838472 3386644884 5079967326 6773289768 10159934652 20319869304