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642642105380 = 225112347765287
BaseRepresentation
bin10010101101000000111…
…01000101010000100100
32021102202211111110012112
421112200131011100210
541012112334333010
61211120430340152
764300161523652
oct11264035052044
92242684443175
10642642105380
112285a7795500
12a466b65a658
13487a7205922
14231656d3dd2
1511ab37a0a05
hex95a0745424

642642105380 has 72 divisors (see below), whose sum is σ = 1487664771264. Its totient is φ = 233014281280.

The previous prime is 642642105377. The next prime is 642642105397. The reversal of 642642105380 is 83501246246.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457097 + ... + 1222383.

It is an arithmetic number, because the mean of its divisors is an integer number (20662010712).

Almost surely, 2642642105380 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 642642105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743832385632).

642642105380 is an abundant number, since it is smaller than the sum of its proper divisors (845022665884).

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

642642105380 is a wasteful number, since it uses less digits than its factorization.

642642105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765665 (or 765652 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 642642105380 in words is "six hundred forty-two billion, six hundred forty-two million, one hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 347 484 605 694 1210 1388 1735 2420 3470 3817 6940 7634 15268 19085 38170 41987 76340 83974 167948 209935 419870 765287 839740 1530574 3061148 3826435 7652870 8418157 15305740 16836314 33672628 42090785 84181570 92599727 168363140 185199454 265554589 370398908 462998635 531109178 925997270 1062218356 1327772945 1851994540 2655545890 2921100479 5311091780 5842200958 11684401916 14605502395 29211004790 32132105269 58422009580 64264210538 128528421076 160660526345 321321052690 642642105380