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643391431672 = 231131301978121
BaseRepresentation
bin10010101110011010001…
…11100010001111111000
32021111201001111011122011
421113031013202033320
541020131201303142
61211323035135304
764324560635503
oct11271507421770
92244631434564
10643391431672
11228951765430
12a483a5a4534
1348896525872
14231d702c13a
1511b09468417
hex95cd1e23f8

643391431672 has 64 divisors (see below), whose sum is σ = 1358947814400. Its totient is φ = 282919392000.

The previous prime is 643391431643. The next prime is 643391431691. The reversal of 643391431672 is 276134193346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8196772 + ... + 8274892.

It is an arithmetic number, because the mean of its divisors is an integer number (21233559600).

Almost surely, 2643391431672 is an apocalyptic number.

643391431672 is a gapful number since it is divisible by the number (62) 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 643391431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679473907200).

643391431672 is an abundant number, since it is smaller than the sum of its proper divisors (715556382728).

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

643391431672 is a wasteful number, since it uses less digits than its factorization.

643391431672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81188 (or 81184 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 49.

The spelling of 643391431672 in words is "six hundred forty-three billion, three hundred ninety-one million, four hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 3019 6038 12076 24152 33209 66418 78121 93589 132836 156242 187178 265672 312484 374356 624968 748712 859331 1029479 1718662 2058958 2421751 3437324 4117916 4843502 6874648 8235832 9687004 19374008 26639261 53278522 106557044 213114088 235847299 471694598 943389196 1886778392 2594320289 5188640578 7311266269 10377281156 14622532538 20754562312 29245065076 58490130152 80423928959 160847857918 321695715836 643391431672