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643310541420 = 223523285323761
BaseRepresentation
bin10010101110010000100…
…10111101101001101100
32021111111102021112001220
421113020102331221230
541014444444311140
61211311025303340
764322556244041
oct11271022755154
92244442245056
10643310541420
11228910036388
12a4817494b50
1348882843201
14231ca3b31c8
1511b022dabd0
hex95c84bda6c

643310541420 has 144 divisors (see below), whose sum is σ = 1885277460192. Its totient is φ = 163891537920.

The previous prime is 643310541407. The next prime is 643310541427. The reversal of 643310541420 is 24145013346.

It is a happy number.

643310541420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (643310541427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27062340 + ... + 27086100.

Almost surely, 2643310541420 is an apocalyptic number.

643310541420 is a gapful number since it is divisible by the number (60) 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 643310541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942638730096).

643310541420 is an abundant number, since it is smaller than the sum of its proper divisors (1241966918772).

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

643310541420 is a wasteful number, since it uses less digits than its factorization.

643310541420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24672 (or 24647 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 643310541420 its reverse (24145013346), we get a palindrome (667455554766).

The spelling of 643310541420 in words is "six hundred forty-three billion, three hundred ten million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 853 1058 1380 1587 1706 2116 2559 2645 3174 3412 4265 5118 5290 6348 7935 8530 10236 10580 12795 15870 17060 19619 23761 25590 31740 39238 47522 51180 58857 71283 78476 95044 98095 117714 118805 142566 196190 235428 237610 285132 294285 356415 392380 451237 475220 546503 588570 712830 902474 1093006 1177140 1353711 1425660 1639509 1804948 2186012 2256185 2707422 2732515 3279018 4512370 5414844 5465030 6558036 6768555 8197545 9024740 10930060 12569569 13537110 16395090 20268133 25139138 27074220 32790180 37708707 40536266 50278276 60804399 62847845 75417414 81072532 101340665 121608798 125695690 150834828 188543535 202681330 243217596 251391380 304021995 377087070 405362660 466167059 608043990 754174140 932334118 1216087980 1398501177 1864668236 2330835295 2797002354 4661670590 5594004708 6992505885 9323341180 10721842357 13985011770 21443684714 27970023540 32165527071 42887369428 53609211785 64331054142 107218423570 128662108284 160827635355 214436847140 321655270710 643310541420