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640482350112 = 2532111609125651
BaseRepresentation
bin10010101000111111011…
…10010001010000100000
32021020012022112111221200
421110133232101100200
540443201440200422
61210122235321200
764162515102243
oct11243756212040
92236168474850
10640482350112
112276996533a0
12a41682b0200
1348521925327
1422ddc93125a
15119d8d832ac
hex951fb91420

640482350112 has 144 divisors (see below), whose sum is σ = 1988201648160. Its totient is φ = 193963392000.

The previous prime is 640482350111. The next prime is 640482350129. The reversal of 640482350112 is 211053284046.

It is a happy number.

640482350112 is a `hidden beast` number, since 6 + 404 + 8 + 235 + 0 + 1 + 12 = 666.

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 not an unprimeable number, because it can be changed into a prime (640482350111) 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 23 ways as a sum of consecutive naturals, for example, 5034487 + ... + 5160137.

It is an arithmetic number, because the mean of its divisors is an integer number (13806955890).

Almost surely, 2640482350112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640482350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994100824080).

640482350112 is an abundant number, since it is smaller than the sum of its proper divisors (1347719298048).

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

640482350112 is a wasteful number, since it uses less digits than its factorization.

640482350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127287 (or 127276 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 640482350112 in words is "six hundred forty billion, four hundred eighty-two million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1609 3168 3218 4827 6436 9654 12872 14481 17699 19308 25744 28962 35398 38616 51488 53097 57924 70796 77232 106194 115848 125651 141592 154464 159291 212388 231696 251302 283184 318582 376953 424776 463392 502604 566368 637164 753906 849552 1005208 1130859 1274328 1382161 1507812 1699104 2010416 2261718 2548656 2764322 3015624 4020832 4146483 4523436 5097312 5528644 6031248 8292966 9046872 11057288 12062496 12439449 16585932 18093744 22114576 24878898 33171864 36187488 44229152 49757796 66343728 99515592 132687456 199031184 202172459 398062368 404344918 606517377 808689836 1213034754 1617379672 1819552131 2223897049 2426069508 3234759344 3639104262 4447794098 4852139016 6469518688 6671691147 7278208524 8895588196 9704278032 13343382294 14556417048 17791176392 19408556064 20015073441 26686764588 29112834096 35582352784 40030146882 53373529176 58225668192 71164705568 80060293764 106747058352 160120587528 213494116704 320241175056 640482350112