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800042087520 = 253251342737291
BaseRepresentation
bin10111010010001100011…
…10010111010001100000
32211111001022100000012200
423221012032113101200
5101101441233300040
61411311222253200
7111541534353114
oct13510616272140
92744038300180
10800042087520
112893289a0775
1210b078587200
135a59c8c4430
142aa17b9d744
1515c26d57630
hexba46397460

800042087520 has 144 divisors (see below), whose sum is σ = 2940154740432. Its totient is φ = 196933432320.

The previous prime is 800042087503. The next prime is 800042087557. The reversal of 800042087520 is 25780240008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21349926 + ... + 21387365.

It is an arithmetic number, because the mean of its divisors is an integer number (20417741253).

Almost surely, 2800042087520 is an apocalyptic number.

800042087520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800042087520 is an abundant number, since it is smaller than the sum of its proper divisors (2140112652912).

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

800042087520 is a wasteful number, since it uses less digits than its factorization.

800042087520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42737325 (or 42737314 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 800042087520 in words is "eight hundred billion, forty-two million, eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 42737291 85474582 128211873 170949164 213686455 256423746 341898328 384635619 427372910 512847492 555584783 641059365 683796656 769271238 854745820 1025694984 1111169566 1282118730 1367593312 1538542476 1666754349 1709491640 1923178095 2051389968 2222339132 2564237460 2777923915 3077084952 3333508698 3418983280 3846356190 4102779936 4444678264 5000263047 5128474920 5555847830 6154169904 6667017396 6837966560 7692712380 8333771745 8889356528 10000526094 10256949840 11111695660 12308339808 13334034792 15385424760 16667543490 17778713056 20001052188 20513899680 22223391320 25001315235 26668069584 30770849520 33335086980 40002104376 44446782640 50002630470 53336139168 61541699040 66670173960 80004208752 88893565280 100005260940 133340347920 160008417504 200010521880 266680695840 400021043760 800042087520