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20653797920 = 255727933347
BaseRepresentation
bin10011001111000011…
…111111001000100000
31222022101202122101112
4103033003333020200
5314244333013140
613253242322452
71330551246200
oct231703771040
958271678345
1020653797920
118839592088
124004ab9428
131c41c8b502
14ddd074400
1580d363c65
hex4cf0ff220

20653797920 has 144 divisors (see below), whose sum is σ = 57481280640. Its totient is φ = 6991455744.

The previous prime is 20653797919. The next prime is 20653797959. The reversal of 20653797920 is 2979735602.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 602687 + ... + 636033.

It is an arithmetic number, because the mean of its divisors is an integer number (399175560).

Almost surely, 220653797920 is an apocalyptic number.

20653797920 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 20653797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740640320).

20653797920 is an abundant number, since it is smaller than the sum of its proper divisors (36827482720).

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

20653797920 is a wasteful number, since it uses less digits than its factorization.

20653797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33455 (or 33440 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 20653797920 in words is "twenty billion, six hundred fifty-three million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 79 80 98 112 140 158 160 196 224 245 280 316 392 395 490 553 560 632 784 790 980 1106 1120 1264 1568 1580 1960 2212 2528 2765 3160 3871 3920 4424 5530 6320 7742 7840 8848 11060 12640 15484 17696 19355 22120 30968 33347 38710 44240 61936 66694 77420 88480 123872 133388 154840 166735 233429 266776 309680 333470 466858 533552 619360 666940 933716 1067104 1167145 1333880 1634003 1867432 2334290 2634413 2667760 3268006 3734864 4668580 5268826 5335520 6536012 7469728 8170015 9337160 10537652 13072024 13172065 16340030 18440891 18674320 21075304 26144048 26344130 32680060 36881782 37348640 42150608 52288096 52688260 65360120 73763564 84301216 92204455 105376520 129086237 130720240 147527128 184408910 210753040 258172474 261440480 295054256 368817820 421506080 516344948 590108512 645431185 737635640 1032689896 1290862370 1475271280 2065379792 2581724740 2950542560 4130759584 5163449480 10326898960 20653797920