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80413854642 = 232117122692521
BaseRepresentation
bin100101011100100001…
…0100000101110110010
321200120011212001211200
41022321002200232302
52304141421322032
6100535215552030
75544505325622
oct1127102405662
9250504761750
1080413854642
1131115585210
121370252b616
137776ab7614
143c6bb08882
1521599bc47c
hex12b90a0bb2

80413854642 has 96 divisors (see below), whose sum is σ = 192907578240. Its totient is φ = 24004512000.

The previous prime is 80413854617. The next prime is 80413854683. The reversal of 80413854642 is 24645831408.

80413854642 is a `hidden beast` number, since 80 + 413 + 85 + 46 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31896342 + ... + 31898862.

It is an arithmetic number, because the mean of its divisors is an integer number (2009453940).

Almost surely, 280413854642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80413854642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96453789120).

80413854642 is an abundant number, since it is smaller than the sum of its proper divisors (112493723598).

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

80413854642 is a wasteful number, since it uses less digits than its factorization.

80413854642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 8041 and 3854642, that added together give a palindrome (3862683).

The spelling of 80413854642 in words is "eighty billion, four hundred thirteen million, eight hundred fifty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2269 2343 2521 4538 4686 5042 6807 7029 7563 13614 14058 15126 20421 22689 24959 27731 40842 45378 49918 55462 74877 83193 149754 161099 166386 178991 224631 249579 322198 357982 449262 483297 499158 536973 966594 1073946 1449891 1610919 1772089 1968901 2899782 3221838 3544178 3937802 5316267 5720149 5906703 10632534 11440298 11813406 15948801 17160447 17720109 31897602 34320894 35440218 51481341 62921639 102962682 125843278 188764917 377529834 406130579 566294751 812261158 1132589502 1218391737 2436783474 3655175211 4467436369 7310350422 8934872738 13402309107 26804618214 40206927321 80413854642