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19261220320 = 2551723929629
BaseRepresentation
bin10001111100000011…
…101110010111100000
31211201100101101001101
4101330003232113200
5303421333022240
612503134444144
71251211446166
oct217403562740
954640341041
1019261220320
118194502a01
123896663654
131a7c60b2b4
14d0a135236
1577ae8839a
hex47c0ee5e0

19261220320 has 96 divisors (see below), whose sum is σ = 48384604800. Its totient is φ = 7220699136.

The previous prime is 19261220311. The next prime is 19261220323. The reversal of 19261220320 is 2302216291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19261220323) 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, 635266 + ... + 664894.

It is an arithmetic number, because the mean of its divisors is an integer number (504006300).

Almost surely, 219261220320 is an apocalyptic number.

19261220320 is a gapful number since it is divisible by the number (10) 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 19261220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192302400).

19261220320 is an abundant number, since it is smaller than the sum of its proper divisors (29123384480).

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

19261220320 is a wasteful number, since it uses less digits than its factorization.

19261220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29900 (or 29892 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 19261220320 in words is "nineteen billion, two hundred sixty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 239 272 340 478 544 680 956 1195 1360 1912 2390 2720 3824 4063 4780 7648 8126 9560 16252 19120 20315 29629 32504 38240 40630 59258 65008 81260 118516 130016 148145 162520 237032 296290 325040 474064 503693 592580 650080 948128 1007386 1185160 2014772 2370320 2518465 4029544 4740640 5036930 7081331 8059088 10073860 14162662 16118176 20147720 28325324 35406655 40295440 56650648 70813310 80590880 113301296 120382627 141626620 226602592 240765254 283253240 481530508 566506480 601913135 963061016 1133012960 1203826270 1926122032 2407652540 3852244064 4815305080 9630610160 19261220320