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643450212440 = 235729553114327
BaseRepresentation
bin10010101110100001001…
…11110001000001011000
32021111212011002112200122
421113100213301001120
541020241223244230
61211332535052412
764326203364140
oct11272047610130
92244764075618
10643450212440
11228981963282
12a4856211108
13488a5766899
1423200b6d920
1511b0e6c9be5
hex95d09f1058

643450212440 has 128 divisors (see below), whose sum is σ = 1712069913600. Its totient is φ = 212950832640.

The previous prime is 643450212437. The next prime is 643450212451. The reversal of 643450212440 is 44212054346.

It is a super-2 number, since 2×6434502124402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 643450212440.

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 31 ways as a sum of consecutive naturals, for example, 44904557 + ... + 44918883.

It is an arithmetic number, because the mean of its divisors is an integer number (13375546200).

Almost surely, 2643450212440 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 643450212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856034956800).

643450212440 is an abundant number, since it is smaller than the sum of its proper divisors (1068619701160).

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

643450212440 is a wasteful number, since it uses less digits than its factorization.

643450212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19905 (or 19901 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 643450212440 its reverse (44212054346), we get a palindrome (687662266786).

The spelling of 643450212440 in words is "six hundred forty-three billion, four hundred fifty million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 5531 8120 11062 14327 22124 27655 28654 38717 44248 55310 57308 71635 77434 100289 110620 114616 143270 154868 160399 193585 200578 221240 286540 309736 320798 387170 401156 415483 501445 573080 641596 774340 801995 802312 830966 1002890 1122793 1283192 1548680 1603990 1661932 2005780 2077415 2245586 2908381 3207980 3323864 4011560 4154830 4491172 5613965 5816762 6415960 8309660 8982344 11227930 11633524 14541905 16619320 22455860 23267048 29083810 44911720 58167620 79242637 116335240 158485274 316970548 396213185 554698459 633941096 792426370 1109396918 1584852740 2218793836 2298036473 2773492295 3169705480 4437587672 4596072946 5546984590 9192145892 11093969180 11490182365 16086255311 18384291784 22187938360 22980364730 32172510622 45960729460 64345021244 80431276555 91921458920 128690042488 160862553110 321725106220 643450212440