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80334866400 = 25352197169913
BaseRepresentation
bin100101011010001010…
…1001100011111100000
321200100200020001100020
41022310111030133200
52304011211211100
6100523314553440
75542526045325
oct1126425143740
9250320201306
1080334866400
1131084a35178
121369bb98880
13776361c909
143c61426b4c
152152ab85a0
hex12b454c7e0

80334866400 has 144 divisors (see below), whose sum is σ = 262818897264. Its totient is φ = 21313761280.

The previous prime is 80334866389. The next prime is 80334866429. The reversal of 80334866400 is 466843308.

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 23 ways as a sum of consecutive naturals, for example, 387844 + ... + 557756.

It is an arithmetic number, because the mean of its divisors is an integer number (1825131231).

Almost surely, 280334866400 is an apocalyptic number.

80334866400 is a gapful number since it is divisible by the number (80) 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 80334866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131409448632).

80334866400 is an abundant number, since it is smaller than the sum of its proper divisors (182484030864).

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

80334866400 is a wasteful number, since it uses less digits than its factorization.

80334866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170133 (or 170120 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 80334866400 in words is "eighty billion, three hundred thirty-four million, eight hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 197 200 240 300 394 400 480 591 600 788 800 985 1182 1200 1576 1970 2364 2400 2955 3152 3940 4728 4925 5910 6304 7880 9456 9850 11820 14775 15760 18912 19700 23640 29550 31520 39400 47280 59100 78800 94560 118200 157600 169913 236400 339826 472800 509739 679652 849565 1019478 1359304 1699130 2038956 2548695 2718608 3398260 4077912 4247825 5097390 5437216 6796520 8155824 8495650 10194780 12743475 13593040 16311648 16991300 20389560 25486950 27186080 33472861 33982600 40779120 50973900 66945722 67965200 81558240 100418583 101947800 133891444 135930400 167364305 200837166 203895600 267782888 334728610 401674332 407791200 502092915 535565776 669457220 803348664 836821525 1004185830 1071131552 1338914440 1606697328 1673643050 2008371660 2510464575 2677828880 3213394656 3347286100 4016743320 5020929150 5355657760 6694572200 8033486640 10041858300 13389144400 16066973280 20083716600 26778288800 40167433200 80334866400